Multiple choice

A train, running at a speed of 96 km/h, crosses a man running at a speed of 6 km/h in the opposite direction in 3 seconds. Find the length of the train.

  1. 170 m

  2. 255 m

  3. 340 m

  4. 85 m

  5. None of these
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Let the length of the train be L m.

Speed of the train (V) = 96 km/h = 96 * 5/18 = 80/3 m/s

Speed of the man (v) = 6 km/h = 6 * 5/18 = 5/3 m/s

Now, by using this shortcut formula,

t = L/(V + v) 

3 = L/(80/3 + 5/3)

L = 85 m, so length of the train is 85 m.

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