Question : Two trains whose lengths are 450 metres and 300 metres are moving toward each other at speeds of 162 km/hr and 108 km/hr respectively. If the distance between trains is 300 metres, then in how much time, these trains will cross each other?
Option 1: 14 seconds
Option 2: 35 seconds
Option 3: 28 seconds
Option 4: 21 seconds
Correct Answer: 14 seconds
Solution :
Given: Two trains whose lengths are 450 metres and 300 metres are moving toward each other at speeds of 162 km/hr and 108 km/hr respectively.
The distance between trains is 300 metres.
⇒ Time = $\frac{\text{Distance}}{\text{Speed}}$
The relative speed of the two trains = 162 + 108 = 270 km/hr
Convert km/hr into m/s by multiplying with $\frac{5}{18}$,
⇒ 270 km/hr = 270 × $\frac{5}{18}$ = 75 m/s
The total distance of the two trains = 450 + 300 + 300 = 1050 m
⇒ Time = $\frac{1050}{75}$ = 14 seconds
Hence, the correct answer is 14 seconds.
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