Boats and Streams

Quantitative Aptitude (CGL)

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The time taken by a boat to travel 13 km downstream is the same as time taken by it to travel 7 km upstream. If the speed of

the stream is 3 km/h, then how much time (in hours) will it take to travel a distance of 44.8 km in still water?

This questions was previously asked in

SSC CGL 4th March 2020 Shift-2

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$4_{25}^{12}$

$5_{5}^{3}$

$5_{5}^{2}$

$4_{25}^{13}$

Explanation:

Speed of the stream = 3 km/h
Let the speed of the boat be v.
Speed in downstream = 3 + v
Speed in upstream = v - 3
Time = distance/speed
According to the question,
The time taken by a boat to travel 13 km downstream = time taken by boat to travel 7 km upstream
13/(3 + v) = 7/(v - 3)
13v - 39 = 21 + 7v
6v = 60
v = 10 km/h
Speed of boat = 10 km/h
The time taken by a boat to travel a distance of 44.8 km in still water = 44.8/10 = 112/25 = 4 12/25 hr

By: santosh

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