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A Train Passes a 110 M Long Platform in 40 S and a Boy Standing on the Platform in 30 S. the Length of the Train is - Mathematics

MCQ

A train passes a 110 m long platform in 40 s and a boy standing on the platform in 30 s. The length of the train is

Options

  • 100 m

  • 110 m

  • 200 m

  • 330 m

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Solution

330 m

Explanation:
Let the length of train = x m
∴ Speed of train while crossing a platform = `(110+"x")/40`m/s

and speed of train while crossing a boy = `"x"/30`

∴ `"x"/30=(110+"x")/40`

⇒ 4x = 330 +3x 

∴ x = 330 m

Concept: Time, Distance and Speed(Entrance Exam)
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