ABC26GN3876 · Problems on Trains

Subject: General Aptitude · Chapter: Problems on Trains · Exam: · Marks: · Difficulty:

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
Answer
Answer (as printed): C
Explanation
Speed $=\left(45 \times \frac{5}{18}\right) \mathrm{m} / \mathrm{sec}=\left(\frac{25}{2}\right) \mathrm{m} / \mathrm{sec} ;$ Time $=30 \mathrm{sec}$. Let the length of bridge be $x$ metres. Then, $\frac{130+x}{30}=\frac{25}{2}$ $$\begin{aligned} & \Leftrightarrow 2(130+x)=750 \\ & \Leftrightarrow x=245 \mathrm{m} . \end{aligned}$$

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