Question

A man walks at $6$ $km$ and and runs at $8$ $km/h$. He covers $6$ $km$ in $50$ $min$ partly by running and partly by walking .
(i) For how long did he walk?
(ii) What distance did he cover walking?

Answer 1

Walking spped $=6km/h$

Running speed $=8km/h$

let distance on walking $=xkm$

So, using $\frac{distance}{speed}=times$, we get,

$\frac{x}{6}+\frac{6-x}{8}=\frac{50}{60}$

on solving, we get, $x=2$

So, distance covered on walking $=2km$

Time taken in walking $=\frac{2}{6}=\frac{1}{3}hr=20mins$