Question

A train 220 m long is running with a speed of 59 kmph. In what time will it pass a man who is running at 7 kmph in the direction opposite to that in which the train is going?

• A. \( \frac{55}{3} \)
• B. 12
• C. 18
• D. 66
• E.

Hint:

When two objects move towards each other, their relative speed is the sum of their speeds. Use the formula: \[ \text{Time} = \frac{\text{Distance}}{\text{Relative Speed}}. \]

Answer 1

The Correct Option is B

Step 1: The relative speed between the train and the man = \( 59 + 7 = 66 \, \text{km/h}. \) Step 2: Convert the speed to m/s: \[ 66 \, \text{km/h} = \frac{66 \times 1000}{3600} = 18.33 \, \text{m/s}. \] Step 3: Time taken to pass the man = \[ \frac{\text{Length of train}}{\text{Relative speed}} = \frac{220}{18.33} = 12 \, \text{seconds}. \]