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A bicycle rider riding his bicycle at a speed of 8 km/h. He is watching a train of 225 m long moving towards him at a speed of 82 km/h. Find the time when the train will cross the rider.

A bicycle rider riding his bicycle at a speed of 8 km/h. He is watching a train of 225 m long moving towards him at a speed of 82 km/h. Find the time when the train will cross the rider. Correct Answer 9s

Given:

Length of a train = 225 m

Speed of a train = 82 km/h

Speed of bicycle = 8 km/h

Concept:

Use the concept of time, distance and relative speed.

Formula used:

Relative speed = S1 + S2

Time = Length of the train/Relative speed

Calculation:

Relative speed = (82 + 8) km/h

⇒ Relative speed = 90 km/h

⇒ Relative speed = 90 × 5/18 = 25 m/s

Now, time taken to cross the man on bicycle = Length of train/Relative speed

⇒ Time taken = 225/25 = 9s

∴ time taken by train to cross the man is 9s

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