4 men and 9 women finish a job in 12 days, while 3 men and 10 women finish it in 14 days. In how many days will 13 women finish it?
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Answer:
otal work is same in two cases,so
[4m+9w] —->12 days……….(i)
[3m+10w]—->14 days……….(ii)
But total work is same,so
12[4m+9w]=14[3m+10w]
By solving, we get 3m=16w
Put it in (ii)
We get 26 w—→14 days
So 13w took 28 days, as work time and no.of persons follow inverse reletion.
So answer is 28 days
Step-by-step explanation:
lavinanikale:
Wait how did u get 28?
m is the days it takes for a man to do the job. w is the days for a woman to do the job.
4m+9w=112
3 men and 10 women complete [math]\frac{1}{[/math]14} of the job per day.
3m+10w=114
Solving the system, w = 364. Thirteen women can do the job in 36413=28 days
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