12 men and 15 women can finish a piece of work in 10 days and 21 women and 24 children can finish the same work in 15 days. in how many days 1 men ,3 women and 2 children together finish the same work, at their double efficiency?
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Answer:
12 men can do the job in 10 days. That means one man can do 1/(12*10) or 1/120 of the job per day.
15 women can do the job in 10 days. So one woman can do 1/(15*10) or 1/150 of the job per day.
7 men and 10 women will do 7/120 + 10/150 of the job per day. 7/120=35/600 and 10/150=40/600. So 35/600 + 40/600 or 75/600 or 1/8 of the work will be done each day.
It will take 8 days for the team to finish the job.
Answer:
12 men can do the job in 10 days. That means one man can do 1/(12*10) or 1/120 of the job per day.
15 women can do the job in 10 days. So one woman can do 1/(15*10) or 1/150 of the job per day.
7 men and 10 women will do 7/120 + 10/150 of the job per day. 7/120=35/600 and 10/150=40/600. So 35/600 + 40/600 or 75/600 or 1/8 of the work will be done each day.
It will take 8 days for the team to finish the job.
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