A train crosses a man on a platform in 10 s and crosses the platform of 260 m in length in 20 s. What is the length of the train?

Correct option is D

Given:

Time to cross a man = 10 seconds

Time to cross a platform (260 m) = 20 seconds

We are to find the length of the train

Formula Used:

Speed = $$\frac{distance}{time}$$​​

Solution:

Let the length of the train = L meters
Speed of train =$$\frac{L}{10}$$​m/s

Then, for crossing platform:

​$$\frac{L + 260}{20} = \frac{L}{10}$$​​

L + 260 = 2L

260 = 2L - L = L

L = 260 m