Question

A man walks a certain distance and rides back in 3 3

4

hours; he could ride both ways in 2 1

2

hours. How many hours would it take him to walk both ways? [5]

Answer 1

Suppose a man covers x distance by walking and then returns x distance by riding in 3 3/4 hours that is 3 hours 45 minutes

Again a man covers 2x distance in 2 1/2 hours that is 2 hours and 30 mins. by riding both ways

Therefore one-way riding time required by the man is half of (2 hours and 30 mins.) that is 1 hour and 15 minutes

So, the time taken up by the man to cover x distance by walking is (3 hours 45 minutes - 1 hour 15 mins.

That is 2 hours and 30 minutes.

So the time required to cover the 2x distance by walking by the man is 2 X(2 hours 30 minutes.)

So the time required is 5 hours.