A train takes 10 seconds to cross a pole and 20 seconds to cross a platform of length 200 m. What is the length of the train?
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 Speed
When 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 Speed
Now, we can solve this system of equations. First, isolate Train's Speed in the first equation:
Train's Speed = L / 10
Now, substitute this expression for Train's Speed into the second equation:
L + 200 = 20 * (L / 10)
Simplify:
L + 200 = 2L
Now, subtract L from both sides:
200 = L
So, the length of the train (L) is 200 meters. Therefore, the length of the train is 200 meters.
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