Boats and Streams - Arithmetic Aptitude Questions and Answers

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Discussion :: Boats and Streams

A motorboat, whose speed in 15 km/hr in still water goes 30 km downstream and comes back in a total of 4 hours 30 minutes. The speed of the stream (in km/hr) is:

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Answer : Option B

Explanation :

Let the speed of the stream be x km/hr. Then,

Speed downstream = (15 + x) km/hr,

Speed upstream = (15 - x) km/hr.

$\frac { 30 } { (15+X) }$ + $\frac { 30 } { (15-X) }$ =4 $\frac { 1 } { 2 }$

$\frac { 900} { 225 -X^2}$ = $\frac { 9 } { 2 }$

9x² = 225

x² = 25

x = 5 km/hr.

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