Question
Download Solution PDFA man can finish a work in 10 days and a woman can finish it in 12 days. In how many days will the work be finished by a man and a woman, working together every day?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven
A man can finish a work in 10 days and a woman can finish it in 12 days.
Concept used
Total work = Number of days × Efficiency
Calculation
Work done by man in one day = 1/10
Work done by a woman in one day = 1/12
Together they will do in: 1/10 + 1/12
= 11/60
They will together complete the work in = 60/11 days
The answer is 60/11 days.
Alternate Method
| Time | Total work | Efficiency |
| 10 | 60 | 6 |
| 12 | 5 |
They will together complete the work in = 60/(6 + 5) = 60/11 days.
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