The distance between two stations A and B is 540 km two trains start simultaneously only from these station on parallel track to cross each other the speed of one of them is greater than the other by 5 km/h if the distance between these two trains after 3 hours of their journey is 165 km find their speed
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Let speed of slower train = X kmph
Speed of faster train = (X + 5) kmph
Distance between the trains = 165 km
Time = 3 hrs
Since both trains travel towards each other (opposite directions),
Relative speed = X + X+5 = 2X + 5
D/S = T
165/(2X + 5) = 3
165 = 6X + 15
6X = 150
X=25 kmph
Speed of slower train = 25 kmph
Speed of faster train = 30 kmph
Hope this helps
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