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1. A train running at the speed of 60 kmph crosses a 200 m long platform in 27 seconds. What is the length of the train?

A. 200 meters

B. 240 meters

C. 250 meters

D. 450 meters

Solution:

\begin{aligned} Speed \\ = (60 \times \frac{5}{18}) m/sec \\ = \frac{50}{3} m/sec \\ Time  =  27 sec . \\ Let the length of the train be x metres . \\ Then, \frac{x + 200}{27} = \frac{50}{3} \\ \Leftrightarrow x + 200 = (\frac{50}{3} \times 27) = 450 \\ \Leftrightarrow x = 450 - 200 = 250 metres \end{aligned}

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