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1. The length of the bridge, which a train 130 metres long and travelling at 45 km/hr can cross in 30 seconds, is:

A. 200 m

B. 225 m

C. 245 m

D. 250 m

Solution:

\begin{aligned} Speed = 45 \times \frac{5}{18} m/sec \\ = \frac{25}{2} m/sec \\ Time = 30 sec \\ Let the length of bridge be x metres \\ Then, \frac{130 + x}{30} = \frac{25}{2} \\ \Rightarrow 2 (130 + x) = 750 \\ \Rightarrow x = 245 m \end{aligned}

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