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Question

A is twice as fast as B and B is thrice as fast as C is. The journey covered by C in 54 minutes will  be covered by  B in :


Options:
A .  18 min
B .  27 min
C .  38 min
D .  9 min
Answer: Option A

Let C's speed = `x` km/hr, Then , B's speed  = 3`x` km/hr  and  A's speed =  6`x` km/hr

`:.`      Ratio of speed of A, B, C  = `6x : 3x : x` = 6 : 3 : 1

Ratio of time taken  = `1/6 : 1/3 : 1 `=  1 : 3 : 6

If C takes 6 min., then B takes 2 min.

If C takes 54 min, then B takes `(2/6 xx 54)` min = 18 min.



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