Multiple Choice Questions

Rahul and Shyam working together can do a piece of work in 5 hours Rahul alone can do the same work ...........

Quantitative Aptitude (MTS) Time and work

Rahul and Shyam, working together, can do a piece of work in 5 hours; Rahul alone can do the same work in 15 hours. How

much time will Shyam alone take to do that work?

This questions was previously asked in

SSC MTS 14th July 2022 Shift-2

12 hours

8.5 hours

7.5 hours

15 hours

- Rahul and Shyam together finish work in 5 hours.

- Rahul alone finishes the same work in 15 hours.

- To find Shyam's time alone, we calculate the work rates:

- Rahul's work rate: 1/15 of the work per hour.

- Together, their work rate is 1/5 of the work per hour.

- Shyam's work rate is the difference: (1/5 - 1/15) = 2/15 of the work per hour.

- The time Shyam takes to complete the work alone is the reciprocal of his work rate, which is 15/2 = 7.5 hours.

- Correct Answer: Option 3: 7.5 hours

Submit Error