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A train of length 400 m takes 15 seconds to cross a train of length 300 m travelling at 60 km per hour from the opposite direction along a parallel track. What is the speed of the longer train, in km per hour ?
108
102
98
96
To find the speed of the longer train:
- Total length to be crossed: 400 m (long train) + 300 m (short train) = 700 m.
- Time taken: 15 seconds.
- Relative speed: The combined speed of both trains in opposite directions.
Convert the speed of the shorter train to meters per second:
- 60 km/h = 60 * 5 / 18 m/s = 16.67 m/s.
Using the formula Relative Speed = Total Distance/Time, we get:
- 700/15 = 46.67 m/s.
The speed of the longer train:
- 46.67 - 16.67 = 30 m/s.
Convert to km/h:
- 30 * 18 / 5 = 108 km/h
- Correct Answer: 108
By: Babita ProfileResourcesReport error
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