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:

100 kmph

110 kmph

120 kmph

130 kmph

Explanation:

Let speed of the car be $ x $ kmph.

Then, speed of the train =$ \dfrac{150}{100} x =\left(\dfrac{3}{2}\right)$ x kmph.

$\therefore \dfrac{75}{x} $-$ \dfrac{75}{(3/2)x} $=$ \dfrac{125}{10 \times 60} $

$\Rightarrow \dfrac{75}{x} $-$ \dfrac{50}{x} $=$ \dfrac{5}{24} $

$\Rightarrow x $ =$ \left(\dfrac{25 \times 24}{5} \right) $= 120 kmph.