A train can travel 50% faster than a 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, however, the train lost about 12.5 minutes while stopping at the stations. The speed of the car is:

Question: A train can travel 50% faster than a 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, however, the train lost about 12.5 minutes while stopping at the stations. The speed of the car is:

Solution:
Let speed of the car be x kmph.
Then, speed of the train = 150x/100 = 3x/2

Now
(75/x) - {75/(3x/2)} = 125/(10 × 60)
(75/x) - (50/x) = 5/24
(75 - 50)/x = 5/24
25/x = 5/24
5x = 24 × 25
x = ( 24 × 25)/5
x = 120 kmph