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?

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