Chemerical71 wrote:

Twenty-four men can complete a work in sixteen days.Thirty-two women can complete the same work in twenty-four days.Sixteen men and sixteen women started working for twelve days.How many more men are to be added to complete the work remaining work in 2 days?

A .16

B. 24

C. 36

D. 48

E. 54

Total work \(= 24m*16d = 384md\), or \(32w * 24d = 768wd\).

\(24m * 16d = 32w * 24d\)

\(1md = 2wd\): men are twice as efficient as women.

Work done by \(16m\) and \(16w\) in \(12\) days \(= 12(32wd + 16wd) = 576wd\).

Remaining work \(= 768-576 = 192 wd\), can be completed in \(2\) days by \(\frac{192}{2} = 96w\).

\(96w - 48w = 48w = 24m\). Ans - B.