A train of length 120 metres overtakes another train of length 100 metres in 8 seconds. If the speed of the slower train is 27 kmph, what is the speed of the faster train?

Since the faster train overtakes the slower one, use the relative speed formula for same directions, where relative speed equals the sum of lengths divided by time. This gives the relative speed as 220 m divided by 8 s, which equals 27.5 m/s. Converting this to kmph by multiplying by 18/5 gives 99 kmph, and adding this to the slower train's speed of 27 kmph results in a faster train speed of 126 kmph.

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