A train crosses a bridge 100 m long in 45 seconds at a speed of 60 km/h
Find the time taken by the train to cross a clock tower.
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Explanation:
Given:
- Length of bridge = 100 m
- Crosses in bridge in time = 45 sec
- Speed of train = 60 km/h
- Let the length of train be x
To Find:
The time taken by the train to cross a clock tower.
Solution:
A/Q,
Total distance = Length of train + Length of bridge = 100 + x
Covert km/h into m/sec.
=> 60 × 5/18 m/s = 50/3 m/s
Now,
We know that,
- Speed = distance/time
=> 50/3 = 100+x/45
=> 50 = 100+x/15
=> 50 × 15 = 100 + x
=> 750 = 100x
=> x = 650.
Therefore,
Length of the train is 650m.
Now,
We know that,
- Speed = Distance/time
=> 50/3 = 650/x
=> 1/3 = 13/x
=> x = 39
Therefore,
Time taken by the train to cross a clock tower is 39 sec.
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