10 women and 20 girls can finish a piece of work in 2 days , while 6 women and 4 girls can finish it in 5 days . Find the time taken by 1 woman and that by 1 girl alone to finish the work .
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Step-by-step explanation:
12 men can complete a piece of work in 4 days
15 women can complete the same work in 4 days
Let the productivity of men be m and the productivity of women be w
Thus,
12m×4=15w×4
=>4m=5w
=>m=45w
Total work done by women =60w
Work done by 6 men in 2 days =6m×2
=6×45×2
=15w
Thus, remaining work =60w−15w
=45w
Let F women complete the remaining job in 3 days
Thus, Fw×3=45w
=>F=345
=>F=15
Thus, 15 women are required to complete the job.
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