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### Question

A train speeding at 18 km/h crosses the platform in 56seconds, but it takes 7 seconds to cross a man standing on the same platform. What is the length of the platform?

**A**

245 meters.

**B**

246 meters.

**C**

244 meters.

**D**

247 meters.

**Soln.**

**Ans: a**

The speed of the train in m/s is 18 × (5/18) = 5 m/s. The length of the train can be obtained from the time it takes to cross the man = $5 × 7$ = 35meters. The combined length of the train and platform can be obtained from the time it takes to cross the platform, = $5 × 56 = 280$ meters. Subtracting, we get the length of the platform = 245 m.