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1. A train 360 m long is running at a speed of 45 km/hr. In what time will it pass a bridge 140 m long?

A. 40 sec

B. 42 sec

C. 45 sec

D. 48 sec

Solution:

\begin{aligned} Formula for converting from km/hr to m/s: \\ X km/hr = X \times \frac{5}{18} m/s \\ Therefore, Speed \\ = 45 \times \frac{5}{18} m/sec = \frac{25}{2} m/sec \\ Total distance to be covered \\ = (360 + 140) m = 500 m \\ Formula for finding Time \\ = \frac{Distance}{Speed} \\ ∴ Required time \\ = (\frac{500 \times 2}{25}) \sec \\ = 40 \sec . \end{aligned}

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