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A Train Passes a Station Platform in 36 Seconds and a Man Standing on the Platform in 20 Seconds. If the Speed of the Train is 54 km/h, What is the Length of the Platform?

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Explanation

“A train passes a station platform in 36 seconds and a man standing on the platform in 20 seconds”; The statement indicates:

Train passes a man in 20 seconds with a speed of 54 km/h so;

length of the train = speed x time

Train passes a station platform in 36 seconds with a speed of 54 km/h; it means total length = speed x time which leads to find out the length of the platform.

To Find

Length of the platform = ?

Solution

Time required to pass a man = 20 seconds

Speed in m/sec = (54 x 1000)/3600

Speed in m/sec = 15 m/sec

Now; length of train = speed x time

length of train = 15 x 20

length of train = 300 m

Let suppose

length of the platform = y

so, total length = y + 300

again, using the formula for total length;

total length = speed x time

y + 300 = 15 x 36

y = 540 – 300

y = 240 meter answer

Conclusion

A train passes a station platform in 36 seconds and a man standing on the platform in 20 seconds. If the speed of the train is 54km/h, then the length of the platform will be 240 meter.

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