Question

Two buses running in opposite directions cross a lady standing on the platform in 54 seconds and 34 seconds respectively. If they cross each other in 46 seconds, what is the ratio of their speeds?

• A. 3:1
• B. 4:3
• C. 3:2
• D. 5:3
• E. 1:4

Answer 1

The correct option is C

3:2

Let the speed of the buses be x and y respectively.

Length of $1^{st}$ bus = 54x

Length of $2^{nd}$ bus = 34y

Relative speed = x + y

Time taken to cross each other = 46 sec

=> $\frac{54x+34y}{x+y}=46$

=> (54x + 34 y) = 46 (x + y)

=> 4x = 6y

=> $\frac{x}{y}=\frac{6}{4}=3:2$