Multiple Choice Questions

Abhishek climbs up a hill at a speed of 3 mi h and comes down at a speed of 5 mi h If the total time...........

Quantitative Aptitude (MTS) Time & distance

Abhishek climbs up a hill at a speed of 3 mi/h and comes down at a speed of 5 mi/h. If the total time taken for the two-way

journey is 10 hours, then what is the distance between the hilltop and the foothil?

This questions was previously asked in

SSC MTS 14th July 2022 Shift-2

20.75 mi

18.75 mi

11.25 mi

37.5 mi

- Abhishek's climbing speed is 3 mi/h, while descending speed is 5 mi/h.

- The total time for the round trip is 10 hours.

- Let the distance to the hilltop be $x$ miles.

- Time taken to climb: $\frac{x}{3}$ hours.

- Time taken to descend: $\frac{x}{5}$ hours.

- Total time for the trip: $\frac{x}{3} + \frac{x}{5} = 10$ .

- Find a common denominator and solve: $\frac{5 x + 3 x}{15} = 10$ simplifies to $8 x = 150$ .

- Solving gives $x = 18.75$ miles.

- Correct Answer: Option 2, 18.75 mi

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