12 men can complete a piece of work in 4 days, while 15 women can complete the same work in 4 days. 6 men start working on the job, and after working for 2 days, all of them stopped working. How many women should be put on the job to complete the remaining work, if it is to be completed in 3 days?
- 15
- 19
- 23
- Data inadequate
Explanation
Work done by 12 men in 4 days = 1 (full work)
Work done by 1 man in 4 days = 1/12
Work done by 6 men in 4 days = 6/12 = 1/2 (i.e., half of the work)
Work done by 6 men in 2 days = (1/2) × (2/4) = 1/4
Remaining work = 1 - 1/4 = 3/4
15 women complete the full work in 4 days → 1 woman’s 1-day work = 1/(15 × 4) = 1/60
Work needed in 3 days → x women × 3 × (1/60) = 3/4
x = (3/4) × (60/3) = 15 women
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