On two parallel railway tracks, two trains are moving evenly towards each other: a freight one – 630 m

On two parallel railway tracks, two trains are moving evenly towards each other: a freight one – 630 m long – at a speed of 48 km / h and a passenger one – 120 m long – at a speed of 102 km / h. How long does it take for one train to pass another?

The speeds of trains moving towards each other add up:

v1 + v2 = 48 km / h + 102 km / h = 400/9 m / s.

From the moment they meet and separate, they will travel the total distance, which is equal to the sum of their lengths:

s1 + s2 = 630 m + 120 m = 750 m.

The time during which trains pass each other:

t = S / v = (s1 + s2) / (v1 + v2) = 750 / (400/9) = 63/4 = 15.75 s.



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