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

A is twice as fast runner as B, and B is thrice as fast runner as C. If C travelled a distance in 1 hour 54 minutes, the time taken by B to cover the same distance is

Ratio of the speed of A and B
= A : B = 2 : 1 = 6 : 3
B : C = 3 : 1
∴ A : B : C = 6 : 3 : 1
∴ Ratio of their time taken

=	1	:	1	: 1 = 1 : 2 : 6
	6		3

∴ Time taken by B =		2	× 114		minutes
		6

= 38 minutes