Question

Two trains running on parallel tracks in opposite directions cross a man standing on the platform in 27 seconds and 20 seconds respectively and they cross each other in 24 seconds. The ratio of their speeds is:
1. 3 : 2
2. 2 : 1
3. 5 : 3
4. 4 : 3

Answer 1

Correct Answer - Option 4 : 4 : 3

Given:

Two trains cross a man 27 sec and 24 sec respectively.

Calculation:

⇒ Length of first train = 27S₁ Where S₁ is the speed of the first train

⇒ Length of second train = 20S₂ Where S₂ is the speed of the second train

⇒ They cross each other in 24 seconds

⇒ (27S₁ + 20S₂)/(S₁ + S₂) = 24 

⇒ By solving 

⇒ S₁ : S₂ = 4 : 3

∴ The required result will be 4 : 3.