Work Rates Explained
The problem states that 5 men can complete a task in 70 days, and alternatively, 12 women can complete the same task in 70 days.
This implies that the work rate of 5 men is equivalent to the work rate of 12 women. Let's denote this combined rate as R. The total amount of work required is thus R multiplied by 70 days.
Combined Effort Calculation
When 5 men and 12 women work together, their work rates add up.
- Rate of 5 men = R
- Rate of 12 women = R
- Combined Rate = (Rate of 5 men) + (Rate of 12 women) = R + R = 2R
Finding the Task Duration
The time taken to complete the task is calculated by dividing the total work by the combined rate.
- Total Work = R × 70 days
- Combined Rate = 2R
- Time Taken =
- Time Taken =
- Time Taken =
- Time Taken = 35 days
Therefore, 5 men and 12 women working together will complete the task in 35 days.
Similar Questions
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Important Questions from Time and Work
A and B can do a piece of work in 18 days. B and C together can do it in 30 days. If A is twice as good a workman as C, find in how many days B alone can do the work?
Two men and 7 women can complete a work in 28 days, whereas 6 men and 16 women can do the same work in 11 days. In how many days will 5 men and 4 women, working together, complete the same work?
A man and a woman, working together can do a work in 66 days. The ratio of their working efficiencies is 3 ∶ 2. In how many days 6 men and 2 women together can do the same work?
Each one of five men independently can complete a work in 20 days. The work is started by one person. Next day one more person joins and every next day one more person joins. From the fifth day, five persons continued working as a team. In how many days, will the work be completed?
Numan does half the work as Gagan in 4/5 of the time. If together they take 16 days to complete a piece of work, then how long will it take Gagan to complete the work?
