6 women and 6 men together can complete a piece of work in 6 days. In how many days can 15 men alone complete the piece of work if 9 women alone can complete the work in 10 days ?
6 women and 6 men together can complete a piece of work in 6 days. In how many days can 15 men alone complete the piece of work if 9 women alone can complete the work in 10 days ?
A 6
B5
C7.2
D4
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Answer is 4
Explanation:
9 women can complete the work in10 days.
6 women can complete the work in \(\frac{10\times9}{6}\) = 15 days.
Part of work done by 6 women = \(\frac{6}{15}\) =\(\frac{2}{5}\)
Part of work done by 6 men =\( 1 - \frac{2}{5} = \frac{3}{5}\)
\(\frac{3}{5}\) part of work done by 6 men in 1 days.
1 part of work done by 6 men in \(\frac{6}{3}\) × 5= 10 days.
15 men can complete the work in \(\frac{10\times6}{15}\)
= 4 days
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