Question

10 men can complete a piece of work 12 days and 15 women can complete the same days. If all the 10 Men and 15 women works in how many will the work get completed.

• A. $6\frac{2}{3}days$
• B. $8\frac{1}{3}days$
• C. $7\frac{2}{3}days$
• D. None of these

Answer 1

The correct option is A $6\frac{2}{3}days$

Here, x = 15 and y = 12
$\therefore$ Working together, 10 men and 15 women will complete the work in
$=\frac{xy}{x+y}days$
$=\frac{15\times 12}{15+12},i.e.\frac{20}{3}or,6\frac{2}{3}days$