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A 640 metre long train travelling at 80 km/h overtook a 540 metre long train travelling at 72 km/h in the same direction. How
long did it take the faster train to cross the other train completely?
8 minutes 41 seconds
9 minutes 09 seconds
9 minutes 01 second
8 minutes 51 seconds
- To calculate the time for the faster train to overtake the slower one, first find the relative speed.
- The faster train is moving at 80 km/h and the slower train at 72 km/h.
- Relative speed = 80 km/h - 72 km/h = 8 km/h.
- Convert this relative speed into meters per second: 8 km/h = (8 * 1000) / 3600 = 20/9 m/s.
- The total distance to be covered is the sum of both train lengths: 640 m + 540 m = 1180 m.
- Time taken = Total distance / Relative speed = 1180 m / (20/9 m/s) = 531 seconds.
- Convert 531 seconds to minutes: 531 seconds = 8 minutes and 51 seconds.
- Option 4: 8 minutes 51 seconds is the correct answer.
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