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1. A train running at a speed of 90 km/hr crosses a platform double its length in 36 seconds. What is the length of the platform in meters?

A. 200

B. 300

C. 450

D. Can not be determined

Solution:

\begin{aligned} Let the length of the train be x metres . \\ Then, length of the platform  =  (2 x) metres . \\ Speed of the train \\ = (90 \times \frac{5}{18}) m / \sec \\ = 25 m / s e c \\ ∴ \frac{x + 2 x}{25} = 36 \\ \Rightarrow 3 x = 900 \\ \Rightarrow x = 300 \\ Hence, length of platform \\ = 2 x = (2 \times 300) m = 600 m \end{aligned}

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