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A train crosses a 300 meters long platform in 15 seconds running at 50% of its normal speed and crosses a pole in 6 seconds running at its normal speed. What is the length of the train?

A train crosses a 300 meters long platform in 15 seconds running at 50% of its normal speed and crosses a pole in 6 seconds running at its normal speed. What is the length of the train? Correct Answer 1200 m

GIVEN:

A train crosses a 300 meters long platform in 15 seconds running at 50% of its normal speed and crosses a pole in 6 seconds running at its normal speed.

FORMULA USED:

Time = Distance/Speed

CALCULATION:

Suppose the speed of train is ‘x’ m/s and the length of the train is ‘L’ meters.

So,

L = 6x     ---- (1)

And

L + 300 = 0.5x × 15

⇒ L + 300 = 7.5x      ---- (2)

From equation 1 and 2:

⇒ 1.5x = 300

⇒ x = 200

So,

L = 6 × 200 = 1200 m

∴ Length of the train = 1200 meters

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