A motorboat goes 8 km an hour in still water, but takes thrice as much time in g

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Question
A motorboat goes 8 km an hour in still water, but takes thrice as much time in going the same distance against the current than going with the current. Then find the speed of the current?
Options
A. 4 kmph
B. 6 kmph
C. 3 kmph
D. 2 kmph

Correct Answer

4 kmph

Explanation

Let the speed of current = 'C' km/hr

Given the speed of boat in still water = 6 kmph

Let 'd' kms be the distance it covers.

According to the given data,

Boat takes thrice as much time in going the same distance against the current than going with the current

i.e, $\frac{d}{8 - C} = 3 � \frac{d}{8 + C}$

$? 24 - 3 C = 8 + C ? 4 C = 16 ? C = 4 kmph$

Hence, the speed of the current C = 4 kmph.