A is twice as fast as B and B is thrice as fast as C. The

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A is twice as fast as B and B is thrice as fast as C. The journey covered by C in 56 min will be covered by A in ?

1. 5¹/₃ min
2. 2¹/₃ min
3. 7¹/₃ min
4. 9¹/₃ min

Correct Option: D

Let time taken by A = Y
Let speed of C = x
Then, speed of B = 3x
∴ speed of A = 6x
Now, ratio of speeds of A and C = Ratio of time taken by C and A
6x : x = 56 : y
⇒ 6x/x = 56/y
∴ y = 56/6 = 9²/₆
= 9¹/₃ min