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Question

A train 360 m long is running at a speed of 45 km/hr. In what time will it pass a bridge 140 m long?

Options:
A .  40 sec
B .  42 sec
C .  45 sec
D .  48 sec
Answer: Option A

Formula for converting from km/hr to m/s:   X km/hr = \(\left(x\times\frac{5}{18}\right)m/s.\)


Therefore, Speed = \(\left(45\times\frac{5}{18}\right)m/sec = \frac{25}{2}sec.\)


Total distance to be covered = (360 + 140) m = 500 m.


Formula for finding Time\(\left(\frac{Distance}{Speed}\right)\)


Therefor Required time =\(\left(\frac{500\times2}{25}\right)sec = 40sec.\)


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