SOLUTION: A worker can clean a pool in 4hours less time than it takes another. if the men work together the job takes 2⅔hours. how long will it take each man to work alone.

Algebra ->  Rate-of-work-word-problems -> SOLUTION: A worker can clean a pool in 4hours less time than it takes another. if the men work together the job takes 2⅔hours. how long will it take each man to work alone.      Log On


   

Question 1145880: A worker can clean a pool in 4hours less time than it takes another. if the men work together the job takes 2⅔hours. how long will it take each man to work alone.
Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
1%2F%28x%2B4%29%2B1%2Fx=1%2F2%262%2F3
-
1%2F%28x%2B4%29%2B1%2Fx=3%2F8
x%2Bx%2B4=%283%2F8%29%28x%5E2%2B4x%29
2x%2B4=%283%2F8%29%28x%5E2%2B4x%29
16x%2B32=3x%5E2%2B12x
3x%5E2-4x-32=0
x=4

Slow worker, 8 hours alone
Fast worker, 4 hours alone