A train takes 10 seconds to cross a pole and 20 seconds to cross a platform of length 200m. What is the length of the train?

A train takes 10 seconds to cross a pole and 20 seconds to cross a platform of length 200m. What is the length of the train? ?

Created: 1 week ago | Updated: 1 week ago | Created By:

Imran Ahmed

400 m

600 m

200 m

800 m

0 1

Best Answer Explained in Below-:

Let L be the length of the train, and let P be the length of the pole. We're given that the train takes 10 seconds to cross the pole and 20 seconds to cross a platform of length 200 meters.When the train crosses the pole, it covers its own length, so we can write:L = 10 * Train's SpeedWhen the train crosses the platform, it covers its own length plus the length of the platform, which is 200 meters, so we can write:L + 200 = 20 * Train's SpeedNow, we can solve this system of equations. First, isolate Train's Speed in the first equation:Train's Speed = L / 10Now, substitute this expression for Train's Speed into the second equation:L + 200 = 20 * (L / 10)Simplify:L + 200 = 2LNow, subtract L from both sides:200 = LSo, the length of the train (L) is 200 meters. Therefore, the length of the train is 200 meters.

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