1.  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 :
A. 100 kmph
B. 110 kmph
C. 120 kmph
D. 130 kmph

Answer: Option C

Explanation:

Let speed of the car be X kmph.

Then, speed of the train = (150 x X /100) = 3X/2 kmph.
=> 75/X - 75/1.5X = (125/10 x 60)

=> 75/X - 50/X = (5/24)

∴ X = (25 x 24 / 5) = 120 kmph.