12men or 15 women can finish a work in 10 days. How many days will 7 men and 10 women take to finish the same work together?
(1) 12 (2) 10 (3) 9 (4) 8
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Answered by
3
Answer:
8
Step-by-step explanation:
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
Answered by
5
Step-by-step explanation:
One woman does (1/150)th of the job in a day. Seven man do (7/120)th of the job in a day. Ten women do (10/150)th of the job in a day. So in one day 7 men and 10 women do (7/120)+(10/150) or [150*7+10*120]/120*150 = [1050+1200]/120*150 = 2250/120*150 = 1/8th of the work.
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