If a person A completes a work in 12 days and person B in 6 days and they start working together then In how many days they will complete the work?
- 4
- 3
- 5
- None of these
Explanation
Person A completes the work in 12 days, so their work rate is 1/12 of the work per day.
Person B completes the work in 6 days, so their work rate is 1/6 of the work per day.
When they work together, their combined work rate is the sum of their individual work rates:
(1/12 + 1/6) = (1/12 + 2/12) = 3/12 = 1/4 of the work per day.
Since they can complete 1/4 of the work in a day, they will complete the entire work in: 4 days.
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