Boat and Stream MCQ Set 4

1. A boat takes 20 hours for travelling downstream from point A to point B and comes back to a midpoint C between A and B . The speed of the stream is 5 km/h and the speed of the boat in still water is 10 km/h . Find the distance between A and B (in km) .

(a) 100

(b) 150

(d) 120

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Answer: D

2. A boat can go 5 km upstream 7½ km downstream in 45 minutes . It can also go 5 km downstream and 2.5 km upstream in 25 minutes . How much time (in minutes) will it take to go 6 km upstream?

(a) 30

(b) 24

(d) 32

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Answer: C

3. A swimmer swims from a point P against the current for 6 min and then swims back along the current for next 6 min and reaches at a point Q . If the distance between P and Q is 120 m then the speed of the current (in km/h) is :

(a) 0.4

(b) 0.2

(d) 0.6

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Answer: D

4. A boat can go 2.4 km upstream in 16 minutes . The ratio of the speed of the boat in still water to the speed of the stream is 8 : 3 . How much time (in hours) will the boat take to go 21.6 km in still water and 33 km downstream?

(a) 5/2

(b) 19/6

(d) 13/6

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Answer: B

5. A boat covers a certain distance in 45 hours . It covers the same distance downstream in 36 hours . If the speed of boat is 36 km/hr . Find the difference between speed of boat in still water and the speed of stream ?

(a) 30 km/hr

(b) 32 km/hr

(d) 48 km/hr

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Answer: B

6. A man rows to a place 35 km in distance and comes back in 10 hours 30 minutes . He found that he could row 5 km with the stream in the same time as he can row 4 km against the stream . Find the rate of flow of the stream .

(a) 1 km/hrs

(b) 0.5 km/hrs

(d) 1.5 km/hrs

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Answer: C

7. A boat has to travel a distance of 12 km starting from point P and point Q . It covers 8 km downstream from point P in 20 min and remaining 4 km upstream to reach the point Q . If the downstream speed was twice the upstream speed , what is the average speed of boat throughout the journey ?

(a) 16 km/hrs

(b) 15 km/hrs

(d) 20 km/hrs

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Answer: C

8. The ratio of speed of motorboat to that of current water 13 : 4 . If boat takes 4hr 32min against the current , it will come back in

(a) 2 hr 24 min

(b) 2 hr 28 min

(d) 3 hr 16 min

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Answer: A

9. A boat sails downstream from point A to point B , which is 20 km away from A , and then returns to A . If the actual speed of boat (in still water) is 3 km/hr then the trip from A to B takes 16 hrs less than that from B to A . What must be the speed of the boat for the trip to take exactly 80 minutes in travelling from A to B .

(a) 12 km/hr

(b) 13 km/hr

(d) 9 km/hr

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Answer: B

10. A boat went downstream for 160 km and returned immediately . It took the boat 20 hr . to complete the round trip . If the speed of the river were twice as high , the trip to downstream and back would take 32 hours . What is the speed of boat in still water ?

(a) 15 km/hr

(b) 16 km/hr

(d) 18 km/hr

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Answer: D