# A train travelling at 250 km/h overtakes a cyclist who is moving at 10km/h in 45 seconds. Find the length of the train in meters?

Answer: The length of the train is 3000 m

Given parameters

Speed of the Train = 250 km/h

Speed of the cycle = 10 km/h

The train overtakes the cyclist who travels in 45 seconds with a speed of 10 km/h.

To calculate: The length of the train

Uniform speed = (250 – 10) km/h

Uniform speed = 240 km/h

Then the uniform speed of the cyclist and the train = 240 x (5/18) m/s

The length of the train = $$\frac{240\times 5\times 45}{18}$$

The length of the train = 3000 m