# Two Trains Running in Opposite Directions Cross a Man Standing on the Platform in 27 Sec and 17 Sec, Respectively and They Cross Each Other in 23 Sec. the Ratio of Their Speeds is - Mathematics

MCQ

Two trains running in opposite directions cross a man standing on the platform in 27 sec and 17 sec, respectively and they cross each other in 23 sec. The ratio of their speeds is

#### Options

• 1 : 3

• 3 : 2

• 3 : 4

• None of these

#### Solution

3 : 2
Explanation:
Let, the speeds of the two trains be x m/s and y m/s, respectively.
Then, the length of the first train = 27x m
and length of the second train = 17y m

∴ (27x+17y)/(x+y)=23

⇒ 27x + 17y = 23x + 23y

⇒ 4x = 6y

∴ x/y=3/2

Concept: Time, Distance and Speed(Entrance Exam)
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