Question

While covering a distance of 30 km. Ajeet takes 2 hours more than Amit. If Ajeet doubles his speed, he would take 1 hour less than Amit. Find their speeds of walking.

Answer 1

Let the speed of Ajeet and Amit be x Km/hr respectively. Then,

Time taken by Ajeet to cover

Time taken by Amit to cover

By the given conditions, we have

If Ajeet doubles his speed, then speed of Ajeet is

Time taken by Ajeet to cover

Time taken by Amit to cover

According to the given condition, we have

...(ii)

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 speed of Ajeet is

The speed of Amit is