Five men working together can complete a work in 8 days Om Prakash who can complete the same work in...........

Quantitative Aptitude (MTS) Time and work

Five men working together can complete a work in 8 days. Om Prakash who can complete the same work independently in 24

days joined them after 4 days. Under the circumstances in how many days the work will be completed?

This questions was previously asked in

SSC MTS 20th October 2021 Shift-1

- Five men working together can finish the work in 8 days. This means their combined work rate is 1/8 of the work per day.

- In 4 days, these five men finish 4/8 or 1/2 of the work.

- There’s 1/2 of the work left after 4 days.

- Om Prakash, who can do the work alone in 24 days, has a work rate of 1/24 per day.

- When Om Prakash joins after 4 days, the new combined work rate is 1/8 + 1/24 = 1/6 of the work per day.

- To complete the remaining 1/2 work at the rate of 1/6 per day, it will take 3 days.

- Thus, the entire work is done in 4 days (initial) + 3 days (after Om Prakash joins) = 7 days.

- Correct Answer: Option 3 - 7

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