Multiple Choice Questions

Kavita can complete a piece of work alone in 12 hours while Komal can complete the same work alone i...........

Quantitative Aptitude (MTS) Time and work

Kavita can complete a piece of work alone in 12 hours, while Komal can complete the same work alone in 18 hours. Kavita

works alone for the first 4 hours and leaves. After that, Komal comes and completes the remaining work by herself. How much

time did Komal take to finish the remaining work?

This questions was previously asked in

SSC MTS 21st July 2022 Shift-3

15 hours

10 hours

16 hours

12 hours

- Kavita's work rate is 1/12 of the work per hour.

- Komal's work rate is 1/18 of the work per hour.

- Kavita works alone for 4 hours, completing $\frac{4}{12} = \frac{1}{3}$ of the work.

- Thus, $\frac{2}{3}$ of the work is still left.

- Komal needs to complete the remaining $\frac{2}{3}$ of the work.

- Time taken by Komal to finish this is $\frac{2 / 3}{1 / 18} = 12$ hours.

- Correct Answer: Komal takes 12 hours to finish the remaining work.

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