SOLUTION: One green hose and one black hose are used to fill a backyard Both hoses used together take half as much time as the green hose by itself. If the black hose takes 3 hours, how long

Algebra ->  Rate-of-work-word-problems -> SOLUTION: One green hose and one black hose are used to fill a backyard Both hoses used together take half as much time as the green hose by itself. If the black hose takes 3 hours, how long      Log On


   

Question 860186: One green hose and one black hose are used to fill a backyard Both hoses used together take half as much time as the green hose by itself. If the black hose takes 3 hours, how long would it take the green hose by itself?
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 

Hi,

Let x represent how long would it take the green hose by itself

+1%2F3+%2B+1%2Fx+=+1%2F%28.5x%29+   |Multiplying thru by 1.5x so as all denominators = 1

   .5x + 1.5 = 3

     .5x = 1.5

       x = 3hr, how long would it take the green hose by itself