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

Correct Answer : C.

Let speed of the car be x kmph.
Then, speed of the train

= \frac{150}{100} x = \frac{3}{2} x k m p h .

∴ \frac{75}{x} - \frac{75}{(3 / 2) x} = \frac{125}{10 x 60}

\Rightarrow \frac{75}{x} - \frac{50}{x} = \frac{5}{24}

\Rightarrow x = \frac{25 x 24}{5} = 120 k m p h .

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