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Time & Distance

A motorboat w...

Question

A motorboat went down the river for 14 km and then up the river for 9 km. It took a total of 5 hours for the entire journey. Find the speed of the river flow if the speed of the boat in still water is 5 km/h.

A

1 kmph

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B

1.5 kmph

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C

2 kmph

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D

3 kmph

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Solution

The correct option is C 2 kmph
$\frac{14}{S_{B} + S_{S}} + \frac{9}{S_{B} - S_{S}} = 5 \frac{14}{5 + S_{S}} + \frac{9}{5 - S_{S}} = 5 Using equation and going by option we get S_{S} = 2 k m / h r$

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