A train is to cover 370 km at a uniform speed After running 100 km the train could run at a speed 5 ...........

Quantitative Aptitude (CGL) Time & distance

A train is to cover 370 km at a uniform speed. After running 100 km,the train could run at a speed 5 km/h less than its normal

speed due to some technical fault. The train got delayed by 36 minutes. What is the normal speed of the train, in km/h?

This questions was previously asked in

SSC CGL 13th August 2021 Shift-3

- The train covers the first 100 km at its normal speed, which we need to determine.

- Let the normal speed be \( x \) km/h.

- Time taken to cover 100 km at normal speed: \( \frac{100}{x} \) hours.

- For the remaining 270 km, it runs at \( (x - 5) \) km/h.

- Time taken for 270 km at reduced speed: \( \frac{270}{x - 5} \) hours.

- Total time taken if there was no delay: \( \frac{370}{x} \) hours.

- Due to delay, it takes 36 minutes more, which is \( \frac{36}{60} = \frac{3}{5} \) hours.

- Hence, the delay equation is:

\frac{100}{x} + \frac{270}{x - 5} = \frac{370}{x} + \frac{3}{5}

- Solving the above, we find \( x = 50 \).

- Option 4: 50 km/h is the correct Answer.

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