Question

Two trains running in opposite directions cross a man standing on the platform in 54s and 34s respectively and they cross each other in 46 s. Find the ratio of their speeds. (a) 3:2 (b) 2:3 (c) 5:3 (d) 3:5
Class 8 ​

Answer 1

Answer:

Option A

Step-by-step explanation:

Let the speeds of two trains be x and y, respectively .

∴ Length of 1st train = 54x

Length of the 2nd train = 34y

According to the question.

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

⇒ 54x + 34y = 46x + 46y

⇒ 27x + 17y = 23x + 23y

⇒ 4x = 6y

⇒ x/y = 3/2

∴ x : y = 3 : 2