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Boats & Streams

Important Instructions
61.

In one hour, a boat goes 11 km/hr along the stream and 5 km/hr against the stream. The speed of the boat in still water (in km/hr) is:

Answer: C

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62.

A man takes 3 hours 45 minutes to row a boat 15 km downstream of a river and 2 hours 30 minutes to cover a distance of 5 km upstream. Find the speed of the current.

Answer: A

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63.

A boat covers a certain distance downstream in 1 hour, while it comes back in 1 1/2 hours. If the speed of the stream be 3 kmph, what is the speed of the boat in still water?

Answer: D

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64.

The speed of a boat in upstream is 60 kmph and the speed of the boat downstream is 80 kmph. Find the speed of the boat in still water and the speed of the stream?

Answer: A

Speed of the boat in still water = (60+80)/2 = 70 kmph. Speed of the stream = (80-60)/2 = 10 kmph.

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65.

The speed of boat in still water is 20 km/hr. If it travels 26 km downstream and 14 km upstream in same time, what is the speed of the stream?

Answer: C

Let X be speed of stream

Speed of boat downstream = (20 + X )

Speed of boat upstream = (20 – X)

It is given that boat takes same time to travel 26 km downstream and 14 km upstream

[26/(20 +X)] = [14 / (20 – X)]

520 – 26 X = 280 + 14X

40X = 240

X = 6 km/hr

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66.

A man's speed with the current is 15 km/hr and the speed of the current is 2.5 km/hr. The man's speed against the current is:

Answer: C

Man's rate in still water = (15 - 2.5) km/hr = 12.5 km/hr.

Man's rate against the current = (12.5 - 2.5) km/hr = 10 km/hr

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67.

A man takes twice as long to row a distance against the stream as to row the same distance in favour of the stream. The ratio of the speed of the boat in still water and stream is

Answer: A

Let speed downstream = x kmph

Then Speed upstream = 2x kmph

So ratio will be,

(2x+x)/2 : (2x-x)/2

=> 3x/2 : x/2 => 3:1

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68.

Speed of a boat in standing water is 9 kmph and the speed of the stream is 1.5 kmph. A man rows to a place at a distance of 105 km and comes back to the starting point. The total time taken by him is:

Answer: D

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69.

A person can row at 9 kmph and still water. He takes 4 1/2 hours to row from A to B and back. What is the distance between A and B if the speed of the stream is 1 kmph?

Answer: D

Let the distance between A and B be x km.

Total time = x/(9 + 1) + x/(9 - 1) = 4.5

=> x/10 + x/8 = 9/2 => (4x + 5x)/40 = 9/2 => x = 20 km.

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70.

A boatman goes 2 km against the current of the stream in 1 hour and goes 1 km along the current in 10 minutes. How long will he take to go 5km in stationery water?

Answer: C

Speed upstream = 2km/hr.

 

Speed downstream = 6 km/hr 

 

Speed in stationary water = ½ (6 + 2) km/hr = 4 km/hr 

 

Time is taken to cover 5 km in stationary water 

 

= (1/4 x 5) 1 hr 15 min

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