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
Distance = rate x time
For our purposes: Work = Rate (of work for each man person) * (total time)
1 Man 1 Dday work=1/(16*24)
1 Woman 1 D work=1/(24*32)
16 M 1 D work=1/24=2/48
16 W 1 D work=1/48
16 M&W 1 D work=3/48=1/16
16 M&W 12 D work=12/16
The remaining work is 4/16 or 1/4
this work is to be completed by the additional men
1 M 1 D work = 1/(16*24)
1 M 2 D work = 1/(16*12)
x M 2 D work = x/(16*12)
this is set to be equal to 1/4
x/(16*12) =1 /4
x = 48
D
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