10 men can finish a piece of work in 10 days. Where as it takes 12 women to finish it in 10 days. If 15 men and 6 women undertake to complete the work how many days will they take to complete it?
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Solution:
Given: Time taken by 10 men to finish work =10 days (Equation 1)
Time taken by 12 women to finish the work = 10 days (Equation 2)
From Equation 1 and Equation 2
Work done by 10 Men = Work done by 12 women
So,
5 Men = 6 women (Equation 3)
Also, 15 Men and 6 Women = 15 Men + 5 Men (From Equation 3)
= 20 Men
Time taken by 10 Men = 10 days
So, Time taken by 20 Men = Time taken by 15 Men + 6 Women
Time taken by 20 Men
=
= 5 Days
It will take 5 Days for 15 Men and 6 Women to complete the work
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