Question

A train takes 8 seconds to pass a person standing on the platform. If the speed of the train is 36 Kmph, then its length in meters is

• A. 115
• B. 90
• C. 110
• D. 80

Hint:

To convert speed from km/h to m/s, use the conversion factor \( \frac{5}{18} \).

Answer 1

The Correct Option is D

The formula for speed is given by: \[ \text{Speed} = \frac{\text{Distance}}{\text{Time}}. \] The speed of the train is 36 km/h, which is equal to \( \frac{36 \times 1000}{3600} = 10 \, \text{m/s} \). Time taken to pass the person is 8 seconds, so the distance (which is the length of the train) is: \[ \text{Length of the train} = \text{Speed} \times \text{Time} = 10 \, \text{m/s} \times 8 = 80 \, \text{meters}. \]