Question

A takes 3 hour more than B to walk 30 km. But if A double its pace, he is ahead of B by 3÷2hours. Find their speed of walking?

Answer 1

Let velocity of A is a, and velocity of B is b.

Time taken by A to cover 30 kms. = 30/a

Time taken by B to cover 30 kms. = 30/b

After doubling the velocity, time taken by A = 30/(2a)

Now we have two equations
(30/a)= (30/b)+3

(30/2a)= (30/b)-(3/2)



Solving equations gives,

a= (10/3)km/h

b= 6km/h

Hope this helps you