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Time and Work Questions PDF: The time and work questions pdf for bank exams is available here. In the quantitative aptitude section, candidates will skip most of the application sums in exams. Time and Work is one of the topics in the application sums. In the bank prelims and mains exams, you should not take much time for a single question. For that, heavy practice is needed. If you practice well with this time and work questions pdf, you can easily solve the question in around a minute. So, practice more using the Time and Work questions pdf for bank exams. Here we have provided more Time and Work questions on various models. Hence, you can learn a lot of tricks to solve the problem.
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1) A can do a piece of work in 25 days, B can do it in 20 days. They started the work together but A left 5 days before the completion of the work. The work has finished in?
A.13 1/3 days
B.15 3/7 days
C.11 4/9 days
D.9 3/8 days
E.None of these
2) 8 girls and 12 boys can complete a work in 4 days. If one boy alone completes the work in 60 days, then in how many days a girl will be able to finish the same work alone?
A.150
B.140
C.160
D.144
E.156
3) A and B together can complete the work in 36 days, B and C together can complete the work in 45 days and A, B and C together can complete the work in 24 days. In how many days A and C together can complete the work?
A.30 days
B.20 days
C.24 days
D.48 days
E.None of these
4) A alone completes the work in 80 days, B alone complete the work in 64 days and C alone complete the work in 160 days. If A, B and C together can started the work, after20 days A left the work and B left the work 15 days before completion of the work, in how many days the work is completed?
A.36 days
B.45 days
C.27 days
D.48 days
E.32 days
5) A, B and C can complete the work in 32 days, 24 days and 30 days respectively. If they started the work together, B left 12 days before completion of the work and C left 6 days before completion of the work and A finished the work. In how many days is the work completed?
A.12
B.14
C.16
D.18
E.20
6) Raj alone completes a piece of work in 10 days. Vel and Yuktha together complete the same in 8 days. If Yuktha and Raj together do the same work in 5 days, then in how many days will Vel alone do the work?
A.15 days
B.20 days
C.25 days
D.30 days
E.40 days
7) A alone completes the work in 15 days and B alone completes the work in 30 days. If A started the work and after 6 days B joined, in how many days the total work completed?
A.10 days
B.8 days
C.12 days
D.15 days
E.18 days
8) 50 men can do a piece of work in 40days. They start the work after some days 10 men left the work. The remaining work will be completed in 40 days. Find after how many days, 10 men left from the work?
A.6 days
B.7 days
C.8 days
D.9 days
E.10 days
9) A and B can complete the work in 24 days and 16 days respectively. They started the work together and after 6 days B left the work. In how many days A alone complete the remaining work?
A.6 days
B.7 days
C.8 days
D.9 days
E.None of these
10) A completes one-third of the work in 20 days and B completes half of the work in 15 days. In how many days required to A and B together can complete the work?
A.10 days
B.15 days
C.18 days
D.20 days
E.None of these
Try Time and Work Questions For Online Mock Test
Answers :
1) Answer: A
(x – 5)/25 + x/20 = 1
(4x – 20 + 5x)/100 = 1
9x – 20 = 100
9x = 120
x = 120/9 = 13 3/9 = 13 1/3 days
2) Answer: C
Work done by 1 boy in 1 day = 1/60
Work done by 12 boys in 1 day = 12/60 = 1/5
Work done by 12 boys in 4 days = 4/5
In 4 days they will complete 4/5 of work, so 8 girls will finish 1/5 of work in 4 days.
So 1 girl will finish 1/40 of work in 4 days
Therefore, a girl alone will finish the work in 160 days.
3) Answer: A
LCM of (36, 45, 24) =360
A and B complete = 360 / 36 = 10 units
B and C complete = 360 / 45 = 8 units
A, B and C complete = 360/24 = 15 units
A = 15 – 8 = 7 units
B = 10 – 7 units = 3 units
C = 8 – 3 = 5 units
A and C = 7 + 5 =12 units
A and C together can complete the work = 360 / 12 = 30 days
4) Answer: B
20/80 + (x – 15)/64 + x/160 = 1
80 + 5x – 75 + 2x = 320
7x = 315
x = 45 days
5) Answer: C
x/32 + (x – 12)/24 + (x – 6)/30 = 1
15x + 20x – 240 + 16x – 96 = 480
x = 16
6) Answer: E
Days taken by Vel = x days and Days taken by Yuktha = y days
1/x + 1/y = 1/8 – (I)
1/10 + 1/y = 1/5 – (II)
On solving, we get x = 40 days
7) Answer: C
x/15 + (x – 6)/30 = 1
2x + x – 6 = 30
3x = 36
x = 12 days
8) Answer: C
50 men can do a piece of work in 40 days
50men*40=50men*x +40men*40
2000=50x +1600
50x=400
x=8 days
9) Answer: D
A = 1/24
B = 1/16
LCM of (16, 24) = 48
A complete the work in one day = 2 units
B complete the work in one day = 3 units
They work together in 6 days = 6 * (2 + 3) = 30 units of work completed
Remaining work = 48 – 30 = 18 units
A alone complete the remaining = 18/2 = 9 days
10) Answer: D
A completes the full work in = 3/1 * 20 = 60 days
B completes the full work in = 2 * 15 = 30 days
A + B = 1/60 + 1/30 = 3/60
= 1/20
A and B can complete the work in 20 days.
11) 18 men and 27 women together can complete a work in 12 days and 24 men and 15 women together can complete the same work in 18 days. In how many days 12 men and 15 women together can complete the work?
A.21 days
B.24 days
C.27 days
D.18 days
E.None of these
12) A alone completes the work in 32 days and A and B together can complete the work in 18 days. If B started the work and after 12 days left the work, in how many days A alone completed the remaining work?
A.26(2/3) days
B.24(2/3) days
C.23(2/3) days
D.21(2/3) days
E.22(2/3) days
13) 20 women can complete the work in 26 days. If 32 boys started the work and after x days, 8 more boys joined the work and completed the remaining work in 7 days. Find the value of x.
A.7.5
B.12.5
C.9
D.15
E.8
14) Bala and Rahul together can do a work in 9 days, whereas Bala alone can do it in 12 days. If Vinay alone can do the same work in 45 days, then find the ratio of the efficiency of Rahul to that of Vinay?
A.7:3
B.4:9
C.5:4
D.8:5
E.None of these
15) A alone can complete a work in 36 days and the ratio of the efficiency of A and B is 7:6. If A and B together started the work and after 12 days A left from the work, in how many days B alone complete the remaining work?
A.12 days
B.14 days
C.15 days
D.16 days
E.20 days
16) A alone completes the work in (x + 8) days and B alone completes the work in (x – 2) days. If A and B together can complete the work in (x – 10) days, find the value of x?
A.10
B.15
C.12
D.18
E.22
17) A can complete the work in 24 days and B and C together can complete the work in 16 days and A and C together can complete the work in 12 days. In how many days B alone completes the work?
A.24 days
B.36 days
C.48 days
D.56 days
E.None of these
18) A alone completes the work in 24 days and B alone completes the work in 40 days. If A and B together started the work and each of them works at 75% of the efficiency, then in how many days A and B together can complete the work?
A.30 days
B.25 days
C.20 days
D.35 days
E.15 days
19) A alone completes the work in x days and B alone completes the work in (x – 10) days. If A and B together can complete the work in 12 days, then find the value of x.
A.28
B.20
C.30
D.25
E.15
20) A, B and C together can complete the work in 6(2/3) days and A alone complete 60% of the work in 9 days. If B alone complete 80% of the work in 16 days, in how many days C alone complete 20% of the work?
A.4 days
B.5 days
C.6 days
D.7 days
E.None of these
Try Time and Work Questions For Online Mock Test
Answers :
11) Answer: A
(18m + 27w) * 12 = (24m + 15w) * 18
36m + 54w = 72m + 45w
36m = 9w
4m = w
(108 + 18)m * 12 = (12 + 60)m * x
x = 21 days
12) Answer: E
A = 1/32
B = 1/18 – 1/32
B = 7/288
12 * 7 /288 + x/32 = 1
x/32 = 17/24
x = 68/3 = 22(2/3) days
13) Answer: A
Total work = 20 * 26 = 520
Total work done by 40 boys in 7 days = 40 * 7 = 280
x = (520 – 280)/32 = 7.5 days
14) Answer: C
Bala and Rahul’s one day work = 1/9
Bala’s one day work = 1/12
Rahul’s one day work = 1/9 – 1/12 = (12-9)/108 = 3/108 = 1/36
Ratio of efficiency of Rahul to Vinay = 1/36 : 1/45 = 45:36 = 5:4
15) Answer: D
A = 1/36
B = 36 * 7/6 = 42 days
12/36 + (12 + x)/42 = 1
(x + 12) = 28
x = 16 days
16) Answer: E
1/(x + 8) + 1/(x – 2) = 1/(x – 10)
((x – 2) + (x + 8)) * (x – 10) = (x – 2) * (x + 8)
2x2 + 6x – 20x – 60 = x2 + 8x – 2x – 16
x2 – 20x – 44 = 0
x2 – 22x + 2x – 44 = 0
x(x – 22) + 2(x – 22) = 0
x = 22(Neglecting negative number of days)
17) Answer: C
A = 1/24
B + C = 1/16
A + C = 1/12
C = 1/12 – 1/24 = 1/24
B = 1/16 – 1/24
= 1/48
18) Answer: C
A = 1/24
B = 1/40
LCM of 24 and 40 = 120
Work done by A alone in a day = 120/24 = 5 units
Work done by B alone in a day = 120/40 = 3 units
Work done by A and B in one day = 8 * 75/100 = 6 units
Required time = 120/6 = 20 days
19) Answer: C
1/x + 1/(x – 10) = 1/12
((x – 10) + x)/x * (x – 10) = 1/12
(2x – 10) * 12 = x2 – 10x
24x – 120 = x2 – 10x
x2 – 34x + 120 = 0
x2 – 30x – 4x + 120 = 0
x(x – 30) – 4(x – 30) = 0
x = 4, 30 (4 is not possible)
20) Answer: C
A + B + C = 3/20
A = 100/60 * 9 = 15 days
B = 100/80 * 16 = 20 days
C = 3/20 – 1/15 – 1/20
= (9 – 4 – 3)/60 = 1/30
C alone complete 20% of the work = 20/100 * 30 = 6 days
21) Aliya, Bala and Sara together can complete the work in 20 days and Aliya alone completes 80% of the work in 36 days. If Bala alone completes 75% of the work in 45 days, in how many days Sara alone completes 80% of the work?
A.74 days
B.75 days
C.76 days
D.72 days
E.None of these
22) Ratio of the efficiency of A and B is 3:2 and the ratio of the efficiency of A and C is 3:1. If B and C together can complete the work in 12 days, in how many days A and B together can complete the work?
A.4(1/5) days
B.5(1/5) days
C.6(1/5) days
D.7(1/5) days
E.8(1/5) days
23) The efficiency of B is 12.5% less than the efficiency of A. B alone can complete half of the work in 12 days. If A and B together started the work and after x days A left the work and B alone completed the remaining work in 9 days, then find the value of x.
A.7
B.9
C.6
D.8
E.None of these
24) A and B together can complete 45% of the work in 10 days and C alone can complete 80% of the work in 24 days. If C and B together can complete 16% of the work in 3 days, in how many days A and C together can complete 70% of the work?
A.12 days
B.15 days
C.16 days
D.8 days
E.10 days
25) A can complete 80% of the work in 12 days and B can complete 60% of the work in 7.2 days. If A and B started the work and after 3 days they left the work and C alone completed the remaining work in 33 days, then in how many days C alone completes the whole work?
A.40 days
B.60 days
C.80 days
D.50 days
E.None of these
26) A can complete the work in 36 days which is 12 days less than the time taken by B to complete the same work and the ratio of the efficiency of B and C is 5:4. In how many days A, B and C together can complete the work?
A.14(15/47) days
B.12(15/47) days
C.18(15/47) days
D.16(15/47) days
E.15(15/47) days
27) A alone completes the work in 18 days and B alone completes the work in 20 days. If B started the work and after 10 days left the work, then A and C together can complete the remaining work in 6 days, in how many days C alone completes the whole work?
A.32 days
B.30 days
C.36 days
D.38 days
E.27 days
28) 15 men can do a work in 8 days, while 12 women can do the same work in 16 days. In how many days 10 men and 8 women together can do the same work?
A.8 days
B.12 days
C.4 days
D.2 days
E.None of these
29) The efficiency of C is 50% more than that of A and 20% more than that of B. Time taken by A and B together to complete the work is 12 days. Find the number of days taken by all of them together to complete the same work?
A.7(1/5) days
B.7(2/5) days
C.6(1/5) days
D.7(3/5) days
E.None of these
30) If 18 men and 24 women do a piece of work in 9 days and 9 men and 27 women do the same piece of work in 12 days, how long will 6 men and 10 women take to complete the same work?
A.24(6/11) days
B.25(6/11) days
C.26(6/11) days
D.21(6/11) days
E.22(6/11) days
Try Time and Work Questions For Online Mock Test
Answers :
21) Answer: D
A + B + S = 1/20
A = 100/80 * 36 = 45 days
B = 100/75 * 45 = 60 days
S = 1/20 – 1/45 – 1/60
= (9 – 4 – 3)/180 = 1/90
Sara alone completes 80% of the work = 80/100 * 90 = 72 days
22) Answer: D
Efficiency of A and B = 3:2
Efficiency of A and C = 3:1
Efficiency of A, B and C = 3:2:1
Time ratio of A, B and C = 2:3:6
1/3x + 1/6x = 1/12
3/6x = 1/12
x = 6
A alone completes the work = 2 * 6 = 12 days
B alone complete the work = 3 * 6 = 18 days
A + B = 1/12 + 1/18
= 5/36
Required time = 7(1/5) days
23) Answer: A
B alone can complete the whole work in = 12 * 2/1 = 24 days
A alone can complete the whole work in = 87.5/100 * 24 = 21 days
x/21 + (x + 9)/24 = 1
8x + 7x + 63 = 168
15x = 105
x = 7
24) Answer: A
C alone complete whole work = 100/80 * 24 = 30 days
A + B complete the whole work = 10 * 100/45 = 200/9
C and B together complete the whole work = 3 * 100/16 = 150/8
B alone complete the work = 8/150 – 1/30 = 1/50
A alone complete the work = 9/200 – 1/50 = 1/40
A and C together can complete whole work =1/40 + 1/30 = 7/120
Required answer = 120/7 * 70/100 = 12 days
25) Answer: B
A = 100/80 * 12 = 15 days
B = 100/60 * 7.2 = 12 days
A and B together complete (3/15 + 3/12) part of work in 3 days
Remaining work = 1 – 9/20 = 11/20
C alone complete the whole work = 33 * 20/11 = 60 days
26) Answer: E
A = 36 days
B = 36 + 12 = 48 days
C = 5/4 * 48 = 60 days
A + B + C = 1/36 + 1/48 + 1/60
= (20 + 15 + 12)/720
= 47/720
Required time = 15(15/47) days
27) Answer: C
A = 1/18
B = 1/20
B completes 10/20 of work in 10 days
Remaining work = 1 – 1/2 = 1/2
A and C together can complete the 1/2 of the work in 6 days
A and C together can complete whole work in 12 days
C = 1/12 – 1/18 = 1/36
28) Answer: A
15 men’s one day work = 1/8
Therefore 1 man’s one day work= 1/(8*15)
12 women’s one day work = 1/16
Therefore 1 woman’s one day work= 1/(12*16)
Required time = 10 men + 8 women = [10/(8*15)] + [8/(12*16)] = (1/12)+(1/24) = (2+1)/24 = 3/24 = 1/8
10men and 8 women together can complete a work in 8 days
29) Answer: A
Efficiency ratio of C to A = 150: 100 = 3: 2
Efficiency ratio of C to B = 120: 100 = 6:5
Efficiency ratio of A : B : C = 4 : 5: 6
Total work = (A+B)*12 = (4+5)*12 = 108 unit
Total number of days taken = 108/(4+5+6) = 108/15= 7(1/5)days
30) Answer: A
(18m + 24w) * 9 = (9m + 27w) * 12
54m + 72w = 36m + 108w
36w = 18m
m = 2w
(18 + 12)m = 1/9
m = 1/270
6m + 10w = 6m + 5m
Required time = 11/270
= 24(6/11) days
31) Anu, Babu and Saran can complete the homework given by their class teacher in 6, 12 and 18 days respectively. In how many days will they together complete the same homework?
A.3 3/11 days
B.4 1/5 days
C.5 1/6 days
D.8 1/4 days
E.None of these
32) The ratio of time taken by A and C to do a work is 3:4 respectively. B takes 50% more time than C. 20% of the work is completed by C in 4 days. Find the time taken by A and B together to complete the whole work?
A.10 days
B.20 days
C.45 days
D.30 days
E.None of these
33) A and B together can complete three-fourth of the work in 27 days. If the efficiency of A is 200% more than that of B, in how many days B alone complete four-fifth of the work?
A.115.2 days
B.118.4 days
C.120.5 days
D.122.4 days
E.120.5 days
34) A alone can do a work in 18 days and B can do 60% of the same work in 12 days. If B alone started the work and left after 5 days and then A alone completes the remaining, then in how many days the whole work will be completed?
A.15.5 days
B.18.5 days
C.16.2 days
D.14.5 days
E.25.5 days
35) A alone complete the work in x days and B alone complete the same work in (x + 2) days and the efficiency of B is 25% less than that of C. If A, B and C together can complete 75% of the work in 1(7/11) days, then find the value of x?
A.4
B.3
C.6
D.5
E.7
36) A completes one-third of the work in 20 days and B completes half of the work in 15 days. In how many days A and B together can complete the work?
A.10 days
B.15 days
C.18 days
D.20 days
E.None of these
37) A and B can complete the work in 20 days and 30 days respectively and after 5 days C joined with them. C is twice the efficiency of B. In how many days total work is completed?
A.5(8/9) days
B.6(8/9) days
C.7(8/9) days
D.8(8/9) days
E.None of these
38) A and B together can complete a work in 20 days and B alone complete the work in 30 days. If already 25% of the work is completed, then how many days A alone complete the remaining work?
A.40 days
B.45 days
C.50 days
D.48 days
E.None of these
39) A, B and C together can complete the work in 6(2/3) days and A alone complete 60% of the work in 9 days. If B alone complete 80% of the work in 16 days, in how many days C alone complete 20% of the work?
A.4 days
B.5 days
C.6 days
D.7 days
E.None of these
40) A can do a piece of work in 20 days, B can do the same work in 15 days and C can do it in 40 days. A alone worked for 5 days and handed over to B, who worked for 3 days and left the job. In how many days will C take to finish the remaining work?
A.16 days
B.22 days
C.24 days
D.20 days
E.None of these
Try Time and Work Questions For Online Mock Test
Answers :
31) Answer: A
Anu, Babu and Saran can do the work in = xyz/(xy + yz + zx)
= (6 * 12 * 18)/(6 * 12 + 12 * 18 + 18 * 6)
= 36/11 = 3 3/11 days
32) Answer: A
The time ratio A : C = 3 : 4
B = 150/100 * 4x = 6x
Time ratio A : C : B = 3 : 4 : 6
For C:
20% work will be completed in 4 days
100% of work will be completed in 4*5=20 days
4x = 20 days
x= 5
Required answer =1/15 + 1/30 = 1/10 =10 days
33) Answer: A
Efficiency of A and B = 300:100 = 3:1
A and B together can complete the whole work = 4/3 * 27 = 36 days
Time ratio of A and B = 1:3
1/x + 1/3x = 1/36
4/3x = 1/36
x = 48
B alone complete four-fifth of the work = 4/5 * 48 * 3
= 115.2 days
34) Answer: B
A = 1/18
B = 100/60 * 12 = 20 days
B alone complete 5/20 of work in 5 days.
Remaining work = 1 – 1/4 = 3/4
A alone complete 3/4 of work = 18 * 3/4 = 13.5 days
Required time = 5 + 13.5 = 18.5 days
35) Answer: C
A = 1/x
B = 1/(x + 2)
C = 1/(x+2) * 100/75 = 4/3(x+2)
Time taken to complete the whole work by A, B and C together= 100/75 * (18/11) = 24/11
1/x + 1/(x + 2) + 4/3(x + 2) = 11/24
(3x + 6 + 3x + 4x)/(3x * (x + 2)) = 11/24
240x + 144 = 33x2 + 66x
11x2 – 58x – 48 = 0
x = 6 (neglecting negative values)
36) Answer: D
A completes the full work in = 3/1 * 20 = 60 days
B completes the full work in = 2 * 15 = 30 days
A + B = 1/60 + 1/30 = 3/60
= 1/20
A and B can complete the work in 20 days.
37) Answer: D
A = 1/20
B = 1/30
C = 1/15
LCM of (20, 30, 15) = 60 units
A complete the one day work = 3 units
B complete the work in one day = 2 units
C complete the work in one day = 4 units
A and B works in first five days = 5 * (3 + 2) = 25 units
Remaining work = 60 – 25 = 35
A, B and C together can complete the remaining work in = 35/(3 + 2 + 4)
= 35/9 = 3(8/9) days
Total work time = 5 + 3 (8/9) = 8(8/9) days
38) Answer: B
(A + B)’s one day work = 1/20
B’s one day work = 1/30
A’s one day work = 1/20 – 1/30
= (3 – 2)/60 = 1/60
A complete the whole work in 60 days.
A completes the 75% of the work in (60 * 75/100) = 45 days
39) Answer: C
A + B + C = 3/20
A = 100/60 * 9 = 15 days
B = 100/80 * 16 = 20 days
C = 3/20 – 1/15 – 1/20
= (9 – 4 – 3)/60 = 1/30
C alone complete 20% of the work = 20/100 * 30 = 6 days
40) Answer: B
A’s 1 day work = 1/20
A’s 5 days work = 5/20 = 1/4
B’s 1 day work = 1/15
B’s 3 day work = 3/15 = 1/5
Remaining work = 1 – (1/4 + 1/5) = 11/20
C can take to finish the work in,
(11/20) * 40 = 22 days
41) A alone completes a work in 12 days and B alone completes the same work in 24 days. If A, B and C started the work alternatively, starting from A, next B and then C so on, after 9 days A and B left the work, then C alone completes the work in 27 days. In how many days C alone complete the whole work?
A.30 days
B.36 days
C.45 days
D.48 days
E.42 days
42) A alone completes a work in 80 days, B alone completes the same work in 64 days and C alone completes the work in 160 days. If A, B and C together can started the work, after 20 days A left from the work and B left from the work 15 days before completion of the work, in how many days the whole work is completed?
A.36 days
B.45 days
C.27 days
D.48 days
E.32 days
43) A alone completes a work in 15 days and B alone completes the work in 30 days. If A started the work and after 6 days B joined, in how many days the whole work completed?
A.10 days
B.8 days
C.12 days
D.15 days
E.18 days
44) A can do a piece of the work in 20 days and B can do the piece of the work in 30 days. A and B together started the work and B left the work in 5 days before completion of the work. In how many days the total work is completed?
A.12 days
B.14 days
C.16 days
D.18 days
E.None of these
45) Ani can complete a work in 12 days working 5 hours a day, Anu can complete the same work in 25 days working 3 hours a day, Anish can destroy the same work in 15 days working 6 hours a day, find the total time taken by them (in hours) to complete/destroy the same work together.
A.52 15/17 hours
B.52 14/17 hours
C.52 16/19 hours
D.52 16/17 hours
E.None of these
46) A can do a piece of work in 30 days and A and B together can complete the work in 18 days. If A, B and C together can complete the work in 15 days and they are gets the total wages is 1380, then what is the wage of B?
A.Rs.520
B.Rs.480
C.Rs.500
D.Rs.460
E.None of these
47) 24 men were appointed to complete the work in 40 days. But after 20 days, it was found that only one third of the work only completed. In how many extra men needed to be complete the work in time?
A.20
B.22
C.24
D.28
E.None of these
48) A, B and C can do a piece of work in 8, 12, and 24 days respectively. They all begin to work together. C left the work after 2 days and B left 3 days before its completion, whereas A continues to work till it is finished. In what time is the work finished?
A.5 3/5 days
B.3 1/2 days
C.3 4/7 days
D.4 5/6 days
E.4 3/5 days
49) A and B together can complete a work in 20 days and B alone complete the work in 30 days. If already 25% of the work is completed, then how many days A alone complete the remaining work?
A.40 days
B.45 days
C.50 days
D.48 days
E.None of these
50) Raina and Kholi can complete a work in 32days and 36days respectively. Both worked together for 12days and after that Kholi is replaced by Dhoni and worked for 3 days and then Dhoni left. Remaining work is done by Raina in next day, then find the time taken by Dhoni to complete the work alone.
A.20 days
B.24 days
C.16 days
D.18 days
E.27 days
Try Time and Work Questions For Online Mock Test
Answers :
41) Answer: D
A, B and C together can complete the work in 9 days = 3/12 + 3/24 + 3/C
= ¼ + 1/8 + 3/C
= 3/8 + 3/C
Remaining work = 1- 3/8 – 3/C = 5/8 – 3/C
5/8 – 3/C = 27/C
30/C = 5/8
C = 48 days
42) Answer: B
20/80 + (x – 15)/64 + x/160 = 1
80 + 5x – 75 + 2x = 320
7x = 315
x = 45 days
43) Answer: C
x/15 + (x – 6)/30 = 1
2x + x – 6 = 30
3x = 36
x = 12 days
44) Answer: B
Work done by A in one day,
A = 1/20
Work done by B in one day,
B = 1/30
Work done by A and B,
x/20 + (x – 5)/30 = 1
3x + 2x – 10 = 60
5x = 70
x = 14 days
45) Answer: D
Ani worked 60 hours to complete the work alone
Anu worked 75 hours to complete the work alone
Anish worked 90 hours to destroy the work alone
Work done by them per hour,
= (1/60) + (1/75) – (1/90)
= (15+12-10)/900
= 17/900
Total work is done in 900/17 i.e 52 16/17 hours
46) Answer: D
LCM of 30, 18 and 15 = 180
Total work = 180 units
A’s per day work = 180/30 = 6 units
(A+B)’s per day work = 180/18 = 10 units
(A+B+C)’s per day work = 180/15 = 12 units
B’s per day work = 10 – 6 = 4 units
C’s per day work = 12 – 10 = 2 units
Efficiency ratio of A, B and C = 6: 4: 2 = 3: 2: 1
B’s wage = 2/6 * 1380 = Rs.460
47) Answer: C
(Men1 * day 1)/ work 1 = (Men2 * day 2) / work2
(24 * 20)/(1/3)=(24 + x) * 20/(2/3)
48=24 + x
x =24
48) Answer: A
Shortcut:
LCM of 8, 12 and 24 = 24 units
A = 3 units per day
B = 2 units per day = > B’s 3 days work = 6 units
C = 1 unit per day = > C’s 2 days work = 2 units
Required number of days = (24 – 2 + 6)/5
= 28/5 = 5 3/5 days
49) Answer: B
(A + B)’s one day work = 1/20
B’s one day work = 1/30
A’s one day work = 1/20 – 1/30
= (3 – 2)/60 = 1/60
A complete the whole work in 60 days.
A completes the 75% of the work in (60 * 75/100) = 45 days
50) Answer: D
In total,
Raina worked for 12+3+1 =16 days
Kholi worked for 12 days
Dhoni worked for 3 days
Let, time taken by Dhoni to complete the work alone =x
Work done by them,
16/32 + 12/36 + 3/x=1
3/x=1-1/2-1/3
3/x=1/6
x=18 days
Time taken by Dhoni to complete the work alone =18 days
This post was last modified on January 2, 2024 5:46 pm