a 520 long train running at a speed of 64 km per hour crosses a standing good train in 54 second find the length of the goods train
Answers
Answer:
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440 m
Step-by-step explanation:
Given :-
A 520 long train running at a speed of 64 km per hour crosses a standing good train in 54 seconds.
To find :-
Find the length of the goods train ?
Solution :-
Given that
Length of the running train = 520 m
Speed of the train = 64 km
=> 64× 5/18 m/s
=> 32×5/9m/s
=> 160/9 m/s
Let the length of the goods train be L m
Total distance covered by the running train
= Length of the running train + Length of the goods train = (520+L) m
Time taken for crossing standing the goods train = 54 seconds
We know that
Distance = Speed × Time
=> Speed = Distance / Time
=> 160/9 = (520+L) / 54
=> (520+L) / 54 = 160/9
On applying cross multiplication then
=> (520+L)×9 = 160×54
=> 520+L = 160×54/9
=> 520+L = 160× 6
=> 520+L = 960
=> L = 960-520
=> L = 440 m
Therefore, L = 440 m
Answer:-
The length of the standing goods train is 440 m
Used formulae:-
- Distance = Speed × Time
- For converting km/hr into m/s multiplying with 5/18.