5 men or 9 women can do a piece of work 19 days. In how many days will 3 men and 6 women working together will finish the work?
5 men or 9 women can do a piece of work 19 days. In how many days will 3 men and 6 women working together will finish the work?
A10 days
B15 days
C87 days
D38 days
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Correct answer is: 15 days
Explanation:
5 men = 19 days
3 men =\( \frac{5}{3} \times 19\) = 31.67 days
9 women = 19 days
6 women = \(\frac{9}{6} \times 19\) = 28.5 days
3 men + 6 women in 1 day = \(\frac{1}{31.67} + \frac{1}{28.5}\)
= 0.0315756 + 0.0350877 = 0.0666633
=\(\frac{ 667}{10,000}\)
So they will complete the work in \(\frac{10,000}{667}\) = 14.99 days
ANSWER 15 days
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