The sum of lengths of a train and a platform is 800 meters. The train

1.	The sum of lengths of a train and a platform is 800 meters. The train crosses the platform in 32 seconds and crosses a man standing on platform in 20 seconds. Find the length of the platform.1). 200 metres2). 240 metres3). 272 metres4). 300 metres
Answer» Let the length of PLATEFORM be P meters. So, length of train will be (800 – P) meters. When train crosses platform, DISTANCE covered is sum of lengths of train and platform. The train crosses the platform in 32 seconds. We know, Time taken = Distance/speed ⇒ 32 = 800/speed of train ⇒ Speed of train = 25 m/sec The train crosses a MAN STANDING on platform in 20 seconds. When train crosses a man, distance covered is length of train. ⇒ 20 = (800 – P)/25 ⇒ P = 800 – 500 = 300 meters ∴ Length of platform is 300 meters.

The sum of lengths of a train and a platform is 800 meters. The train crosses the platform in 32 seconds and crosses a man standing on platform in 20 seconds. Find the length of the platform.1). 200 metres2). 240 metres3). 272 metres4). 300 metres

Answer»

Let the length of PLATEFORM be P meters. So, length of train will be (800 – P) meters.

When train crosses platform, DISTANCE covered is sum of lengths of train and platform.

The train crosses the platform in 32 seconds.

We know, Time taken = Distance/speed

⇒ 32 = 800/speed of train

⇒ Speed of train = 25 m/sec

The train crosses a MAN STANDING on platform in 20 seconds.

When train crosses a man, distance covered is length of train.

⇒ 20 = (800 – P)/25

⇒ P = 800 – 500 = 300 meters

∴ Length of platform is 300 meters.

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