Question

A man cover a certain distance with x km/hr and come back with y km/hr. He takes t hours to go and come bck. Find the distance

Answer 1

Given :

The speed with man covers a certain distance = x km/hr

The speed with which he came back = y km/hr

The time taken by the man to go and come back = t hrs

To Find :

The magnitude of distance  = ?

Solution :

Let the distance be equal to = d

Since , the total time in going and coming back is = t , so :

$\frac{d}{x} + \frac{d}{y} = t$

Or, $\frac{dy + dx }{xy } = t$

Or , $d (x+y) = xyt$

Or ,$d =\frac{xyt}{x+y}$ km

Hence , the magnitude of distance is d = $\frac{xyt}{x+y}$ km .