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Question

A train 800 metres long is running at a speed of 78 km/hr. If it crosses a tunnel in 1 minute, then the length of the tunnel (in meters) is:


A
130
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B
360
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C
500
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D
540
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Solution

The correct option is B 500
$$Speed = \left( 78 \times \dfrac{5}{18} \right) m/sec = \left( \dfrac{65}{3} \right) m/sec$$
Time = 1 minute = 60 seconds.
Let the length of the tunnel be x metres.
Then, $$\left( \dfrac{800 + x}{60} \right) = \dfrac{65}{3}$$
$$\Rightarrow 3 (800 + x) = 3900$$
$$\Rightarrow x = 500$$

Mathematics

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