# A is thrice as fast runner as B, B is twice as fast runner as C and D

| A is thrice as fast runner as B, B is twice as fast runner as C and D is thrice as fast runner as C. If D travelled a distance in 1 hour 42 minutes, then the time taken by A to cover the same distance is:

A. 51 minutes

B. 34 minutes

C. 17 minutes

D. None of these.

### Right Answer is: A

#### SOLUTION

Ratio of speeds of A & B = 3 : 1

Ratio of speeds of B & C = 2 : 1

Ratio of speeds of C & D = 1 : 3

Now ratio of speeds of A, B, C & D = 6 : 2 : 1 : 3

Ratio of time taken by each of them = 1 : 3 : 6 : 2

So, if D takes 1 hour 42 minutes to travel a distance, then time taken by A to cover that distance =

= 51 minutes

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A is thrice as fast runner as B, B is twice as fast runner as C and D