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10 men and 15 women can do a work in 6days one man alone can do it in 100 days in how many days will a woman finish the work?
One man does the job in 100 days ===> One man does (1/100) job per day.
Ten men do (10/100) job in one day, and (60/100) = 0.6 job in 6 days.
The 15 women do the remaining (1 - 0.6) = 0.4 job in 6 days.
15 women do (0.4/6) job in one day.
1 woman does (0.4)/(6 x 15) = (1/225) job in one day.
1 woman requires (6 x 15)/(0.4) = (90/0.4) = 225 days per job.
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Check:
10 men = (10/100) = 1/10 job per day
15 women = (15/225) = 1/15 job per day
Sum = (1/10) + (1/15) = (3/30) + (2/30) = 5/30 = 1/6 job per day.
The team of 10+15 finish in 1/(1/6) = 6 days. yay !
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