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 w

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Solution

1 man's 1 day work = 1/48; 1 woman's 1 day work = 1/60. 6 men's 2 day's work = 6/48 * 2 = 1/4. Remaining work = (1 - 1/4) = 3/4 Now 1/60 work is done in 1 day by 1 woman. So 3/4 work will be done in 3 days by (60 * 3/4 * 1/3) = 15 women.

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