Question

A takes 3 hours more than B to walk a distance of 30 km. But, if A doubles his pace (speed) he is ahead of B by $1\frac{1}{2}$ hours. Find the speeds of A and B.

Answer 1

Let the speed of A and B be x Km/hr and y Km/hr respectively. Then,

Time taken by A to cover ,

And, Time taken by B to cover .

By the given conditions, we have

If A doubles his pace, then speed of A is

Time taken by A to cover ,

Time taken by B to cover .

According to the given condition, we have

Putting and, in equation (i) and (ii), we get

Adding equations (iii) and (iv), we get,

Putting in equation (iii), we get

Now,

and,

Hence, the A’s speed is,

The B’s speed is.