Question

A boat takes 4 hours for traveling downstream from point p to point q and coming back to point p upstream. If the velocity of the stream is 2 km ph and the speed of the boat in still water is 4 kmph, what is the distance between p and q

Answer 1

A boat takes 4 hours for traveling downstream from point p to point q and coming back to point p upstream. The velocity of the stream is 2 kmph and the speed of the boat in still water is 4 kmph.

The distance between P and Q is 6 km

Explanation:

Velocity of the stream = 2 km/h

Speed of the boat in still water = 4 km/h

Speed of the boat downstream = 4+2 = 6 km/h

Speed of the boat upstream = 4 - 2 = 2 km/h

Let the distance between P and Q be d

Then

Total time taken by the boat in going from P to Q and coming back to P = 4 hours

Therefore,

$\frac{d}{6}+\frac{d}{2}=4$

$\implies d(\frac{1}{6}+\frac{1}{2}=4$

$\implies d(\frac{1+3}{6}=4$

$\implies d\times\frac{4}{6}=4$

$\implies d=6$ km

Therefore, the distance between P and Q is 6 km

Hope this helps.

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