SOLUTION: If a work is done in 4 days by A and the same work is done in 12 days by B, then how many days will it take to complete the work working A and B together?

Algebra ->  Rate-of-work-word-problems -> SOLUTION: If a work is done in 4 days by A and the same work is done in 12 days by B, then how many days will it take to complete the work working A and B together?      Log On


   

Question 627939: If a work is done in 4 days by A and the same work is done in 12 days by B, then how many days will it take to complete the work working A and B together?
Found 2 solutions by ewatrrr, richwmiller:
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 

Hi,

If a work is done in 4 days by A and the same work is done in 12 days by B, 

then how many dayshighlight%28x%29 will it take to complete the work working A and B together?

Question states*** fraction of work done PER day Key

 1%2F4+%2B+1%2F12+=+1%2Fx  |Multiplying thru by 12x so as all denominators = 1

    3x + x = 12     | Solve for x, days it takes to complete the work together

Answer by richwmiller(17219) About Me  (Show Source):
You can put this solution on YOUR website!
x/4+x/12=1
3x/12+x/12=1
4x/12=1
4x=12
x=3
They can do it in three days working together.
A will do 3/4 of the work and B will do 3/12 or 1/4 of the work.