Question : Two trains are moving in the same direction at the speed of 44 km/hr and 70 km/hr. The time taken by a faster train to cross a man sitting in the slower train is 72 seconds. What will be the length of the faster train?
Option 1: 520 metres
Option 2: 620 metres
Option 3: 450 metres
Option 4: 500 metres
Correct Answer: 520 metres
Solution :
The relative speed of the faster train concerning the slower train is
= 70 km/hr − 44 km/hr = 26 km/hr
= 26 × $\frac{5 }{18}$ m/s
= $\frac{130 }{18}$ m/s
The sum of the lengths of two trains = $\frac{130 }{18}$ × 72 metres
⇒ Distance = length of faster train = $\frac{130 }{18}$ × 72 = 520 metres
Hence, the correct answer is 520 metres.
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