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Boats and Streams Aptitude Questions and Answer

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1.) A man can row upstream at 7 kmph and downstream at 10 kmph. Find man’s rate in still water and the rate of current.

A.)    1.5 km/hr.

B.)    2.0 km/hr.

C.)    3.5 km/hr.

D.)    6.2 km/hr.

 View Answer

Answer: Option A

Explanation:

Rate in still water = 1/2 (10 + 7) km/hr = 8.5 km/hr.

Rate of current = 1/2(10 – 7) km/hr = 1.5 km/hr.


2.) A man can row 18 kmph in still water. It takes him thrice as long to row up as to row down the river. Find the rate of stream.

A.)    5 km/hr.

B.)    9 km/hr.

C.)    15 km/hr.

D.)    22 km/hr.

View Answer

Answer: Option B

Explanation:

Let man’s rate upstream be x kmph.

Then, his rate downstream = 3x kmph

bindu Rate in still water = 1/2 (3x + x) kmph = 2x kmph

So, 2x = 18 or x = 9

bindu Rate upstream = 9 km/hr, Rate downstream = 27 km/hr

Hence, rate of stream = 1/2 (27 – 9) km/hr = 9 km/hr


3.) In a stream running at 2 kmph, a motorboat goes 6 km upstream and back again to the starting point in 33 minutes. Find the speed of the motorboat in still water.

A.)    12 kmph

B.)    15 kmph

C.)    22 kmph

D.)    30 kmph 

View Answer

Answer: Option A

Explanation:

Let the speed of the motorboat in still water be x kmph. Then

Speed downstream = (x+2) kmph; Speed upstream = (x-2) kmph

bindu 6/x+2 + 6/x-2 = 33/60

11x2 – 240x – 44 =0

11x2 – 242x + 2x – 44 =0

(x - 22) (11x + 2) = 0

= x= 22

Hence, speed of motorboat in still water = 22 kmph


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

A.)    3

B.)    5

C.)    8

D.)    9

View Answer

Answer: Option A

Explanation:

Speed is still water = 1/2 (11 + 5) kmph = 8 kmph


5.) A man can row upstream at 8 kmph and downstream at 13 kmph. The speed of the stream is:

A.)    3

B.)    5

C.)    8

D.)    9 

View Answer

Answer: Option A

Explanation:

Speed of stream = 1/2 (13 - 8) kmph = 2.5 kmph


 

 
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