Quantitative Aptitude :: Boats and Streams Problems And Answers

7. In a stream running at 3 Kmph, a motor boat goes 10 Km upstream and back again to the starting point in 57 minutes. Find the speed of motor boat in still water?

A. 18 kmph B. 22 kmph
C. 16 kmph D. 20 kmph
Answer & Explanation

Answer: Option B

Explanation:
Let the speed of motor boat instill water be X kmph 
Then, speed in downstream = (X + 3) km 
and. speed in upstream = (X - 3) kmph 
Time taken to row 10km & back = (10/X+3,10/X-3) 
10/X+3 + 10/X-3 = 57/60 
11X2 - 240X - 44 = 0 
(X - 22)(11x + 2) = 0 
X = 22 or X = -2/11 
Then X = 22 kmph


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