SOLUTION: 6 men finish one-fourth work in 2 days. The number of additional men required for finishing the same work in 2 day is

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Question 1000551: 6 men finish one-fourth work in 2 days. The number of additional men required for finishing the same work in 2 day is
Found 2 solutions by josgarithmetic, ankor@dixie-net.com:
Answer by josgarithmetic(39630) About Me  (Show Source):
You can put this solution on YOUR website!
r, the work rate of ONE man.
6r%2A2=1%2F4, shows the first sentence of the description, but the question is how many ADDITIONAL men to do this same work, 1%2F4, in 2 days. This is 0 additional men. The initial 6 men already met the requirement.

The question may intend for how many added men are needed to do the remaining 3%2F4 of the whole job IN TWO MORE DAYS AFTER THE ALREADY TIME SPENT. In this case,
Find r from the first equation: r=%281%2F4%29%281%2F2%29%281%2F6%29
r=1%2F%282%2A4%2A6%29

and then
%286%2Bn%29r%2A2=3%2F4

STEPS

n%2B6=%283%2F4%29%281%2F2%29%281%2Fr%29
n=%283%2F4%29%281%2F2%29%281%2Fr%29-6
n=%283%2F4%29%281%2F2%29%282%2A4%2A6%29-6
n=3%2A6-6
highlight%28n=12%29-----------twelve additional men

Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
6 men finish one-fourth work in 2 days.
therefore
6 men require: 4*2 = 8 days to do the complete job
and we can say:
6 * 8 = 48 man-days required to do the job
:
The number of additional men required for finishing the same work in 2 days is:
let m = no. of additional men required to do the job in 2 days.
2(m+6) = 48
2m + 12 = 48
2m = 48 - 12
2m = 36
m = 36/2
m = 18 additional men
:
:
Check this, a total of 24 men working 2 days = 48 man-days