Multiple Choice Questions

A1 alone can complete a piece of work in 14 days A2 alone can complete the same work in 21...........

Quantitative Aptitude (MTS) Time and work

A₁alone can complete a piece of work in 14 days, A₂alone can complete the same work in 21 days, while A₃alone can

complete the same work in 28 days. The three worked together, completed the work, and received a total payment of Rs1,040

for doing the work. What is A₂ 's share in the total payment received?

This questions was previously asked in

SSC MTS 8th July 2022 Shift-2

Rs240

Rs480

Rs320

Rs400

- A₁ works alone for 14 days to complete the work.

- A₂ would take 21 days alone to finish the work.

- A₃ requires 28 days alone to do the same job.

- We calculate their work rate as follows:

- A₁'s daily work rate is 1/14.

- A₂'s daily work rate is 1/21.

- A₃'s daily work rate is 1/28.

- Combined work rate = 1/14 + 1/21 + 1/28 = (6 + 4 + 3) / 84 = 13/84.

- A₂'s share: (Work rate of A₂ / Total work rate) * Total payment = (1/21) / (13/84) * 1040 = 4/13 * 1040 = Rs320.

- Correct Answer: Green tick Rs320 (Option 3).

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