Quantitative Aptitude Ques 557

Question: Two trains running in opposite directions cross a man standing on the platform in 27 and 17 s respectively and they cross each other in 23 s. What is the ratio of their speeds?

Options:

A) 1 : 3

B) 3 : 2

C) 3 : 4

D) 1 : 2

E) 2 : 1

Show Answer

Answer:

Correct Answer: B

Solution:

  • Let the speeds of two trains of x m/s and y m/s. Then, length of first train = 27 x m Length of second train = 17 y m According to the question, $ 27x+17y=23,(x+y) $

$ \Rightarrow $ $ (27-23),x=(23-17),y $

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