Q. A train can travel 50% faster than car. Both start from point A at the same time and reach point B 75 kms away from A at the same time. On the way train lost 12.5 minutes while stopping at stations. The speed of the car is ?
Speed of car = R
Speed of train = 1.5 R
Time car took = T
RT = 75
1.5R(T - 12.5) = 75 -> 1.5RT - 18.75R = 75
Multiply RT = 75 by 1.5 and subtract the other equation.
1.5RT = 107.5
1.5RT - 18.75R = 75
18.75R = 37.5
R = 2
