Question

A man can row 5 km/h in still water. If the speed of the current is 1 km/h, it takes 3h more in upstream than in the downstream for the same distance. The distance is:

Answer 1

Given,

• Speed of man in stilt water (x) = 5 km/hr

• Speed of current (y) = 1 km/hr

• Time taken (t) = 3 hrs

Let,

• The distance be M.

We know,

• Speed of boat in upstream = x - y = 5 - 1 = 4 km/hr

• Speed of boat in downstream = x + y = 5 + 1 = 6 km/hr

From these,

$\implies\sf \dfrac{M}{4}-\dfrac{M}{6}=3$

$\implies\sf \dfrac{6M-4M}{24}=3$

$\implies\sf \dfrac{2M}{24}=3$

$\implies\sf \dfrac{M}{12}=3$

$\implies\sf M=36\:km$

Therefore,

$\huge\boxed{\bf Distance=36\:km}$

Answer 2

Answer:

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