Boats and Stream Questions For Bank Clerk Prelims

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1) The sum of the speed of boat in still water and stream is 20 kmph and the speed of the boat against stream is 10 kmph. What is the speed of the stream?

A.2 kmph

B.4 kmph

C.5 kmph

D.6 kmph

E.None of these

2) A boat travels 40 km against the stream in 2 hours. If the speed of the stream is doubled, then the boat travels the same distance in against stream in 4 hours, then what is the speed of the boat in still water?

A.15 kmph

B.20 kmph

C.25 kmph

D.30 kmph

E.None of these

3) A boat covers 180 km in upstream and returned back in 40 hours and the ratio of the speed of the boat in still water to stream is 2: 1. Find the speed of upstream

A.12 kmph

B.6 kmph

C.8 kmph

D.4 kmph

E.None of these

4) The ratio of the speed of stream to boat is 1: 7. If a boat covers 120 km in upstream and returned back in 3.5 hours, then find the sum of the speed of boat and stream.

A.70 kmph

B.50 kmph

C.140 kmph

D.80 kmph

E.120 kmph

5) The time taken by a man to row his boat upstream is four times the time taken by the man to row the same distance in downstream. If the speed of the boat is 35kmph, find the speed of the stream.

A.7 kmph

B.14 kmph

C.21 kmph

D.28 kmph

E.None of these

6) A man takes totally 4 hours to go to a certain distance in downstream and returned back. If the speed of boat in still water is 8 kmph and the speed of stream is 4 kmph, then what is the distance covered by the man in downstream?

A.4 km

B.8 km

C.12 km

D.16 km

E.None of these

7) The ratio of the speed of the boat in upstream to downstream is 4:5. If the sum of the speed of stream and boat is 30 kmph, then what is the speed of stream?

A.4 kmph

B.3 kmph

C.2 kmph

D.5 kmph

E.None of these

8) A boat takes equal time to travel a distance of 81 km in upstream and 99 km in downstream. If the speed of the boat in still water is 20km/h, then what is the speed of the current (in km/h)?

A.3 km/h

B.4 km/h

C.2 km/h

D.2.5 km/h

E.None of these

9) A boat travels 80 km in upstream and returned back in 12 hours and the ratio of the speed of the boat and stream is 3:1, then what is the speed of the boat?

A.12 kmph

B.15 kmph

C.18 kmph

D.24 kmph

E.None of these

10) The time taken by a man to row his boat upstream is 3 times the time taken by the man to row the same distance in downstream. If the speed of the boat is 24kmph, find the speed of the stream.

A.12 kmph

B.14 kmph

C.6 kmph

D.8 kmph

E.None of these

Answers :

1) Answer: C

Downstream speed = 20 kmph

Upstream speed = 10 kmph

Stream speed = (20 – 10)/2 = 5 kmph

2) Answer: D

Upstream speed = 40/2 = 20 kmph

Speed of boat = x

Speed of the stream = y

x – y = 20 ——(1)

x – 2y = 40/4

x – 2y = 10 —— (2)

(2) – (1)

-y = -10

y = 10 kmph

x = 10 + 20 = 30 kmph

3) Answer: B

180/3x + 180/x = 40

(1 + 3)/3x = 2/9

x = 6 kmph

Speed of boat = 2 * 6 = 12 kmph

Speed of stream = 6 kmph

Speed of upstream = 12 – 6 = 6 kmph

4) Answer: D

The ratio of speed of stream and boat = 1: 7 (x, 7x)

[120/(7x – x)] + [120/(7x + x)] = 3.5

35/x = 3.5

x = 10

Required sum = 8 * 10 = 80 kmph

5) Answer: C

Ratio of the time taken to row upstream to downstream = 4: 1

Ratio of the speed of the boat in still water to the speed of the stream

= (4 + 1)/(4 – 1) = 5/3 = 5: 3

Speed of the stream = 35/5 * 3 = 21 kmph

6) Answer: C

Speed of boat = 8 kmph, Speed of stream = 4 kmph

=> d/(8 + 4) + d/(8 – 4) = 4

=> d/12 + d/4 = 4

=> d = 12 km

7) Answer: B

5x = 30

x = 6 kmph

Speed of stream = (5 * 6) – (4 * 6)/2

= 6/2 = 3 kmph

8) Answer: C

Let the speed of the current be x km/h

According to question,

81/(20 – x) = 99/(20 + x)

9/(20 – x) = 11/(20 + x)

180 + 9x = 220 – 11x

20x = 40

x = 2

Hence, the speed of current = 2 km/h.

9) Answer: B

Upstream speed = Speed of the boat – Speed of the stream = 3x – x = 2x
Downstream = Speed of the boat + Speed of the stream = 3x + x = 4x

80/4x + 80/2x = 12

80 + 160 = 12 * 4x

240 = 12 * 4x

x = 5

Speed of boat = 5 * 3 = 15 kmph

10) Answer: A

Ratio of times taken = 3: 1

Ratio of the speed of boat in still water to speed of stream = (3 + 1)/(3 – 1) = 2: 1

Speed of stream = 24 * ½ = 12 kmph

 

Start Quiz

 

11) Ratio of the speed of the boat and stream is 5:1 respectively. If the boat covers 36 km downstream in 30 minutes, then find the time taken by boat to cover 240 km upstream?

A.5 hours

B.4 hours

C.8 hours

D.6 hours

E.None of these

12) If the ratio of the speed of boat to stream is 5:2 and the boat to covers 525 km downstream and upstream in 50 hours, then find the speed of the boat along with stream?

A.28 kmph

B.35 kmph

C.42 kmph

D.21 kmph

E.None of these

13) The ratio of the speed of boat in upstream and the speed of current is 2:1. If the speed of boat in still water is 24 kmph, then find the speed of upstream?

A.12 kmph

B.16 kmph

C.20 kmph

D.15 kmph

E.18 kmph

14) The speed of boat A is 50% more than the speed of boat B. If boat A covers 140 km upstream in 14 hours and the speed of stream is 5 kmph, then find the time taken by boat B covers 120 km downstream and 45 km upstream?

A.13 hours

B.15 hours

C.17 hours

D.19 hours

E.20 hours

15) The speed of the boat in still water is x kmph and the speed of upstream is x/2 kmph. If the boat covers 216 km downstream and 108 km upstream in 20 hours, then find the time taken by the boat covers 162 km upstream and downstream?

A.18 hours

B.20 hours

C.22 hours

D.24 hours

E.27 hours

16) The speed of boat in still water is four times the speed of stream. Time taken by the boat can cover 228 km downstream, if the speed of the stream is decreased by 25% in 12 hours. Find the speed of upstream?

A.9 kmph

B.12 kmph

C.15 kmph

D.6 kmph

E.None of these

17) Ratio of the speed of the boat and stream is 7:3 respectively. If the boat covers 180 km upstream and the same distance in downstream in 10.5 hours, then find the time taken by boat to cover 210 km in still water?

A.6 hours

B.5 hours

C.3 hours

D.7 hours

E.None of these

18) Ratio of the speed of the boat and stream is 5:2. The boat takes 13 hours for travelling x km downstream and x/2 km upstream. If the speed of the stream is 12 kmph, then find the value of x?

A.210

B.175

C.252

D.154

E.None of these

19) A boat covers 264 km along the stream in 6 hours and the same boat covers 252 km against the stream in 9 hours. If the speed of the boat is increased by 16.67%, then find the time taken by the boat in still water to cover 336 km?

A.8 hours

B.3 hours

C.6 hours

D.7 hours

E.None of these

20) The boat covers a distance of 240 km downstream from point A to B and goes upstream to reach point C which is the midpoint of point A to B in 10 hours. If the speed of the stream is 20 kmph, then find the time taken by boat to cover 200 km in still water?

A.4 hours

B.5 hours

C.10 hours

D.8 hours

E.None of these

Answers :

11) Answer: A

Let the speed of the boat=5x

And the speed of the stream=1x

Downstream speed of the boat=36*60/30=72 kmph

Upstream speed of the boat=72*4x/6x=48 kmph

Required time=240/48=5 hours

12) Answer: B

525/(5x + 2x) + 525/(5x – 2x) = 50

75 + 175 = 50x

x = 5

Speed of downstream = 7 * 5 = 35 kmph

13) Answer: B

Speed of boat = 24 kmph

24 – x = 2x

3x = 24

x = 8

Speed of upstream = 2 * 8 = 16 kmph

14) Answer: C

Upstream Speed of boat A = 140/14 = 10 kmph

Speed of boat A = 10 + 5 = 15 kmph

Speed of boat B = 15 * 100/150 = 10 kmph

Required time = 120/(10 + 5) + 45/(10 – 5)

= 17 hours

15) Answer: D

Speed of stream = x – x/2 = x/2

216/(x + x/2) + 108/(x/2) = 20

432/3x + 216/x = 20

360 = 20x

x = 18

Speed of stream = 18/2 = 9 kmph

Speed of downstream = 9 + 18 = 27 kmph

Required time = 162/27 + 162/9

= 24 hours

16) Answer: B

Speed of stream = x

Speed of boat = 4x

228/(4x + x * 75/100) = 12

19 = 4x + 3x/4

x = 4

Speed of upstream = (4x – x) = 3 * 4 = 12 kmph

17) Answer: B

Speed of the boat=7x

Speed of the stream=3x

180/(7x+3x)+180/(7x-3x)=10.5

18/x+45/x=10.5

63/10.5=x

x=6

Speed of the boat=7*6=42 kmph

Required time=210/42=5 hours

18) Answer: C

Speed of the stream=12 kmph

Speed of the boat=12*5/2=30 kmph

Downstream speed of the boat=12+30=42 kmph

Upstream speed of the boat=30-12=18 kmph

x/42+(x/2)/18=13

x/42+x/36=13

78x=1512*13

x=252 km

19) Answer: A

Downstream speed of the boat=264/6=44 kmph

Upstream speed of the boat=252/9=28 kmph

Speed of the boat=(28+44)/2=36 kmph

Speed of the boat is increased by 16.67%=36*7/6=42 kmph

Required time=336/42=8 hours

20) Answer: B

Speed of the stream=20 kmph

Speed of the boat=x kmph

Downstream speed of the boat=x+20 kmph

Upstream speed of the boat=x-20 kmph

240/(x+20)+120/(x-20)=10

360x-2400=10x²-4000

x²-36x-160=0

x²-40x+4x-160=0

x(x-40)+4(x-40)=0

x=+40, -4

Speed of the boat=40 kmph

Required time=200/40=5 hours

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