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
PLEASE EXPLAIN ME THIS​

Answer 1

Answer:

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. Description for Correct answer: ... Two trains of same length take 6 s and 9 s, respectively to cross a pole.

Answer 2

Answer:

Given -

The man standing on the platform in 54s and 34s

And they cross each other in 46 s

To Find -

The ratio of their speeds

Solution -

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

Therefore, Length of 1st train = 54x

Length of the 2nd train = 34y

According to the question,

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

$= > \: 54x + 34y = 46x + 46y$

$= > \: 27x + 17y = 23x + 23y$

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

Therefore, x:y = 3:2

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