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

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) (Show Source): You can put this solution on YOUR website!
r, the work rate of ONE man.
, shows the first sentence of the description, but the question is how many ADDITIONAL men to do this same work, , 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 of the whole job IN TWO MORE DAYS AFTER THE ALREADY TIME SPENT. In this case,
Find r from the first equation:

and then

STEPS

-----------twelve additional men
Answer by ankor@dixie-net.com(22740) (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

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