Arithmetic

Time, Speed & Distance

Medium

Train of 200 meters long takes 18 seconds to cross a man running at 15 kmph in a direction opposite to that of the train. The speed of the train:

25 kmph

35 kmph

45 kmph

55 kmph

✅ Correct Option: 1

Relative speed $= \frac{200}{18}$ m/s $= \frac{200}{18} \times \frac{18}{5} = 40$ kmph.

Since they move in opposite directions, relative speed is the sum of the two speeds.

So train speed $= 40 - 15 = 25$ kmph.

2022: 26 Aug Shift 1

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Train of 200 meters long takes 18 seconds to cross a man running at 15 kmph in a direction opposite to that of the train. The speed of the train:

Solution

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