Solve this multiple-choice question and choose the correct option.

Two train of equal length are running on parallel lines in the same direction at 46 km/h and 36 km/h. The faster train passes the slower train in 36 s. The length of each trains is?

82 m
50 m
80 m
72 m

Correct Answer: 50 m

Explanation:

Let the length of each train be L m. Relative speed = 46 - 36 = 10 km/h = 10 x 5/18 m/s = 25/9 m/s Sum of length of train / Relative speed of train = Time taken ∴ 2L/(25/9) = 36 ⇒ 2L = (36 x 25)/9 = 100 ∴ L = 50 m.

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