Two trains running in the same direction if the faster train crosses the slower train in 48 seconds while in opposite direction they cross each other in 12 seconds if the speed of the faster train 105 km/hr .Find the speed of the slower train.
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83 km/hr
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56 km/hr
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63 km/hr
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78 km/hr
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None of these
C
Correct answer
Explanation
Let slower train speed = x kmph. Same direction: relative speed = (105-x) kmph, time 48s = 48/3600 hr. Distance = (105-x)×48/3600. Opposite direction: relative speed = (105+x) kmph, time 12s. Distance = (105+x)×12/3600. Equating: (105-x)×48 = (105+x)×12. Solving: 5040-48x = 1260+12x → 3780 = 60x → x = 63 kmph.