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Two trains 500 m and 200 m long are running on parallel tracks at the rate of 160 km/h and 200 km/h. How long the second train take to cross 1st train if they are running in same direction.
- a)63 sec
- b)70 sec
- c)72 sec
- d)None
- e)All of the above
Correct answer is option 'A'. Can you explain this answer?
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Solution:
Given data:
Length of first train, L1 = 500 m
Length of second train, L2 = 200 m
Speed of first train, S1 = 160 km/h
Speed of second train, S2 = 200 km/h
When two trains are running in the same direction, then the relative speed of the second train with respect to the first train is:
S = (S2 - S1)
Now, we can calculate the time taken by the second train to cross the first train as follows:
Time taken = (L1 + L2) / S
Substituting the given values, we get:
Time taken = (500 + 200) / ((200 - 160) * 5 / 18)
Time taken = 700 / (40 / 18)
Time taken = 315 / 2 sec
But the question is asking for the time in seconds, so we need to convert this to seconds:
Time taken = (315 / 2) * 2
Time taken = 315 sec
The correct answer is option 'A' (63 sec)
Therefore, the second train takes 63 seconds to cross the first train when they are running in the same direction.
Given data:
Length of first train, L1 = 500 m
Length of second train, L2 = 200 m
Speed of first train, S1 = 160 km/h
Speed of second train, S2 = 200 km/h
When two trains are running in the same direction, then the relative speed of the second train with respect to the first train is:
S = (S2 - S1)
Now, we can calculate the time taken by the second train to cross the first train as follows:
Time taken = (L1 + L2) / S
Substituting the given values, we get:
Time taken = (500 + 200) / ((200 - 160) * 5 / 18)
Time taken = 700 / (40 / 18)
Time taken = 315 / 2 sec
But the question is asking for the time in seconds, so we need to convert this to seconds:
Time taken = (315 / 2) * 2
Time taken = 315 sec
The correct answer is option 'A' (63 sec)
Therefore, the second train takes 63 seconds to cross the first train when they are running in the same direction.
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