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 5

Question

2 years ago

10

4 km/hr, what is the length of the platform?.

1 answer:

disa [49] · Answer 1 · 2023-05-26T16:05:56+03:00

The length of the platform is 240 meters.

Given Data:

Speed of the train = 54 km/hour

= [(54 × 1000) / 3600] m/s

= 15 m/s

Time is taken to pass the station platform = 36 seconds

Time is taken to give the man = 20 seconds

To Find:

The length of the platform =?

Solution:

The train passes the man standing on the platform in 20 seconds. So, the distance traveled by train is:

Distance = speed × time

Distance = 15 m/s × 20 seconds

Distance = 300 meters

Now, when the train passes the platform, the total distance traveled will be increased, the combined length of both the train and the platform.

Total distance = Length of the platform (P) + length of the train (T)

Total distance = speed of the train × time taken to pass the station

P + T = 15 m/s × 36 seconds

P + T = 540 meters

P + 300 meters = 540 meters

P = 540 – 300

P = Length of the Platform = 240 meters.

So, a train with a speed of 15 m/s and a length of 300 meters will take 36 seconds to cross a platform 240 meters long.

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