A train running at 54 km hr crosses a telegraph pole in 18 seconds less time than it takes to cross ......

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A train running at 54 km/hr crosses a telegraph pole in 18 seconds less time than it takes to cross a platform. Find the length of the platform.

30 m

90 m

270 m

810 m

Explanation:

Speed is 54×5/18 = 15 m/s.

Let the time required for crossing the pole be t.

Length of the train is 15×t.

Length of the train + length of the platform = 15 × (t + 18).

So length of the platform = 15 × (t + 18) – 15 × t = 15 × 18 = 270 m.

Hence, option 3 is the correct answer.

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