rain Alpha, spanning a physical length of 500 meters, moves forward at a uniform speed of 90 km/h. How much total duration will it require to cross an individual sitting inside Train Beta (400 meters long) which is heading in the opposite direction at 54 km/h?

To find the relative speed, add the speeds of the two trains moving in opposite directions, yielding 144 km/h. Converting this to m/s by multiplying by 5/18 results in 40 m/s. The total distance to cover is the 500 m length of train Alpha, so dividing 500 by 40 results in a time of 12.5 seconds.

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