Train of length 500 m travels with speeds of 40
m/s. The time taken by the train to cross the
bridge of length 300 m is
Answers
Answer:
relative velocity of faster train with respect to slower train is 10m/s.
for overtaking the train relative distance to be covered is 200+300=500.
so time taken is 50sec.
Given data :
➜ Length of the train = 500 m
➜ Speed of the train = 40 m/s
➜ Length of the bridge = 300 m
Solution : Here, we know that, to cross the bridge, the train must cross its length along the length of the bridge. Hence,
➜ Total distance = Length of the train + Length of the bridge
➜ Total distance = 500 + 300
➜ Total distance = 800 m
Now, by formula of speed
➜ Speed = Total distance/Time
➜ 40 = 800/Time
➜ Time = 800/40
➜ Time = 80/4
➜ Time = 20 sec
Answer : Hence,,he time taken by the train to cross the bridge of length 300 m is 20 sec.
{More info : 1 minute = 60 second
➜ 20 sec = 20/60 minute = 2/6 minute = 1/3 minute
and 1 m/s = 18/5 km/hr
➜ 40 m/s = (40 * 18)/5 km/hr = 720/5 km/hr = 144 km/hr
and 1 m = 1/1000 km
➜ 500 m = 500/1000 km = 0.5 km and 300 m = 300/1000 km = 0.3 km}
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