Question

A train can travel $50$% faster than a car. Both start from point $A$ at the same time and reach point $B$ $75kms$ 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

Answer 1

Let the speed of the car be $x$.

Then, the speed of the train

$=\frac{150}{100}x$

$=\frac{3}{2}xkmph$

Therefore,

$\frac{75}{x}-\frac{75}{\left(3/2\right)x}=\frac{125}{10\times 60}$

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

$\frac{25}{x}=\frac{5}{24}$

$x=120kmph$

Hence, this is gthe answer.