Question

A car can travel 25% faster than a train. Both start from point A at the same time and reach point B 50 kms away from A at the same time. On the way, however, the car lost about 25 minutes while stopping at the petrol pump. The speed of the train is:

• A. 22 kmph
• B. 23 kmph
• C. 24 kmph
• D. 25 kmph
• E. 20 kmph

Answer 1

The correct option is C

24 kmph

Let speed of the train be x kmph.

Then, speed of the car =$\left(\frac{125}{100}\right)\times x=\left(\frac{5}{4}\right)\times x$ kmph

$\left(\frac{50}{x}\right)-\left(\frac{50}{\frac{5x}{4}}\right)=\frac{25}{60}$

=>$\left(\frac{50}{x}\right)-\left(\frac{40}{x}\right)=\frac{5}{12}$

=> x = $\frac{12\times 10}{5}$ = 24 kmph