SOLUTION: it takes x hours to fill a swimming pool when only hose 1 is used. It takes y hours to fill the pool if only hose 2 is used. Write a rational expression to show how long How take

Algebra ->  Rate-of-work-word-problems -> SOLUTION: it takes x hours to fill a swimming pool when only hose 1 is used. It takes y hours to fill the pool if only hose 2 is used. Write a rational expression to show how long How take      Log On


   



Question 443501: it takes x hours to fill a swimming pool when only hose 1 is used. It takes y hours to fill the pool if only hose 2 is used. Write a rational expression to show how long How takes to fill the pool if both hoses are used. Can you explain the answer and how you got to it?
Answer by rwm(914) About Me  (Show Source):
You can put this solution on YOUR website!
z/x+z/y=1
z is the time together
x is the time for one hose
y is the time for hose two
1 is the whole job
hose one does 1/x per hour
hose two does 1/y per hour
the whole job takes z hours