Multiple Choice Questions

A and B together can do a piece of work in 24 days A alone can do this work in 40 days In how many d...........

Quantitative Aptitude (MTS) Time and work

A and B together can do a piece of work in 24 days. A alone can do this work in 40 days. In how many days can B alone do this

work?

This questions was previously asked in

SSC MTS 18th July 2022 Shift-1

40 days

56 days

60 days

16 days

- A and B together can complete the work in 24 days. Thus, their combined work rate is 1/24 of the work per day.

- A alone takes 40 days, so A's work rate is 1/40 of the work per day.

- Let B's work rate be 1/x, meaning B alone would take x days to finish the work.

- The combined work rate of A and B:

\frac{1}{40} + \frac{1}{x} = \frac{1}{24}

- Solving for B's work rate:

\frac{1}{x} = \frac{1}{24} - \frac{1}{40}

\frac{1}{x} = \frac{5 - 3}{120} = \frac{2}{120} = \frac{1}{60}

x = 60

- B alone can complete the work in 60 days.

- Correct Answer: Option 3 - 60 days.

Submit Error