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The length of the bridge, which a train 400 metres long and travelling at 60 km/hr can cross in 36 seconds, is:

  1. A
    450 m
  2. B
    250 m
  3. C
    200 m
  4. D
    500 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.

Practice this question

Try it yourself before checking the explanation above.

The length of the bridge, which a train 400 metres long and travelling at 60 km/hr can cross in 36 seconds, is:
A
450 m
B
250 m
C
200 m
D
500 m

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