A man is driving to his workplace at five eighths of his usual speed He reaches his workplace 36 min...........

Quantitative Aptitude (MTS) Time & distance

A man is driving to his workplace at five-eighths of his usual speed, He reaches his workplace 36 minutes late, What is his

usual time (in hours) of travel?

This questions was previously asked in

SSC MTS 8th October 2021 Shift-1

2.5

1.5

- The man is driving at five-eighths of his usual speed. This means he is slower than his normal pace.

- Because of this reduced speed, he reaches his workplace 36 minutes later than usual.

- Let's denote his usual time of travel as \( t \).

- At his usual speed, he covers the distance in \( t \) hours.

- At five-eighths of his usual speed, it takes him \( \frac{8}{5} t \) hours to cover the same distance.

- The difference in time because of the reduced speed is \( \frac{8}{5} t - t = \frac{3}{5} t \), and this equals 36 minutes, which is 0.6 hours.

- Solving \( \frac{3}{5} t = 0.6 \) gives \( t = 1 \) hour.

- Option: 1 - 1 hour: Correct, as calculated above.

- Option: 2 - 2.5 hours: Incorrect, the time is not that long.

- Option: 3 - 2 hours: Incorrect, doesn't match the calculation.

- Option: 4 - 1.5 hours: Incorrect, slightly longer than calculated time.

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