The length of the bridge, which a train 400 metres long and travelling at 60 km/hr can cross in 36 seconds, is:
- A450 m
- B250 m
- C200 m
- D500 m
Solution & Step-by-step Explanation
First, convert the speed of the train from km/hr to m/s:
Speed=60×
18
5
=
3
50
m/s
Let the length of the bridge be B metres.
When crossing a bridge, the total distance covered by the train is equal to the length of the train plus the length of the bridge:
Distance=Length of train+Length of bridge=400+B
Using the formula Distance=Speed×Time:
400+B=
3
50
×36
400+B=50×12
400+B=600
B=600−400=200 m
Thus, the length of the bridge is 200 m.
Speed=60×
18
5
=
3
50
m/s
Let the length of the bridge be B metres.
When crossing a bridge, the total distance covered by the train is equal to the length of the train plus the length of the bridge:
Distance=Length of train+Length of bridge=400+B
Using the formula Distance=Speed×Time:
400+B=
3
50
×36
400+B=50×12
400+B=600
B=600−400=200 m
Thus, the length of the bridge is 200 m.