a train moving with a velocity of 12km/have find the time it takes to cross the bridge 1km long the length of train is 100m
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Answer:
Velocity= 12 km/h
Length of bridge= 1 km
Length of train= 100 m or 0.1 km
1 km= 1000 m
1m = 1/1000 km
100 m= 100/1000 km
= 0.1 km
Total length to be crossed = length of train+length of bridge
= 0.1 km + 1 km= 1.1 km(distance)
Speed or velocity= distance/time
time= distance/velocity or speed
= 1.1 km/12 km/h
= 11 km × h/ 10×12×km
= 11 h/120
= 0.0916666667 h
= 0.09 h(answer)
Thus, the time is 0.09 h.
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Total distance required for the train to cross the bridge is,
d = (100 + 1000) m = 1100 m
The speed of the train is,
v = 12 km/h = 12 × 5 / 18 = (10/3) m/s
Hence the time taken to cross the bridge is,
t = 1100 / (10/3) = 330 s = 5.5 minutes.
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