A takes 2 hours more than B to walk d km. If A doubles his speed, then he can make it in 1 hour less than B. How much time does B require for walking d km.?

# A takes 2 hours more than B to walk d km. If A doubles his speed, then he can make it in 1 hour less than B. How much time does B require for walking d km.?

1. A
4
2. B
6
3. C
5
4. D
3

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### Solution:

Let us assume that the time taken by B to walk d km be x.
Distance to be travelled
Time taken by B to walk d km
Time taken by A to walk d km
Speed of A  …………………………..(i)
Distance to be travelled
Time taken by B to walk d km
Time taken by A to walk d km
Speed of A .............................(ii)
So, comparing equation (i) and equation (ii), we get

Now, after cross-multiplying, we get

Hence, the time taken by B to walk d km is 4 hours.
So, option 1 is correct.

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