Question : A train travelling at 180 km/hr overtakes a car travelling at 108 km/hr in 5 seconds. What is the length of the train?
Option 1: 200 metres
Option 2: 100 metres
Option 3: 120 metres
Option 4: 150 metres
Correct Answer: 100 metres
Solution :
The relative speed of the train to the car is the difference between their speeds
= 180 – 108 = 72 km/hr = 72 × $\frac{5}{18}$ = 20 m/s
The length of the train is the distance it travels in the time it takes to overtake the car.
Since distance = speed × time
So, the length of the train = 20 × 5 = 100 metres
Hence, the correct answer is 100 metres.
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