Question

A train travelling at 250 kmph overtakes a cyclist who is travelling at 10 kmph in 45 seconds. what is the length of the train in metres?

Answer 1

250-10=240*5/18*45=3000

Answer 2

Answer: 3000.15 m

Explanation:

The cyclist length is negligible. The time taken by train to overtake the cyclist will determine the length of the train.

The train and cyclist are travelling in same direction. we need to calculate the relative velocity of train with respect to cyclist.

It is given that the velocity of train is

$v_t=250km/h$

The velocity of cyclist is

$v_c=10km/h$

The relative velocity of train with respect to cyclist:

$v_{tc}=v_t-v_c= 250km/h-10km/h=240 km/h$

we will convert the velocity in m/s

In m/s, 240 ×(1000/3600) m/s=66.67 m/s

In 45 s, the train will cover a distance of = relative velocity × time taken

⇒l=66.67 m/s×45 s = 3000.15 m

Hence, the length of the train is 3000.15 m