SOLUTION: A Chinese restaurant has a large goldfish pond. Suppose that an inlet pipe and a hose together can fill the pond in 3 hours. The inlet pipe alone can complete the job in one hour l

Algebra ->  Average -> SOLUTION: A Chinese restaurant has a large goldfish pond. Suppose that an inlet pipe and a hose together can fill the pond in 3 hours. The inlet pipe alone can complete the job in one hour l      Log On


   

Question 1143437: A Chinese restaurant has a large goldfish pond. Suppose that an inlet pipe and a hose together can fill the pond in 3 hours. The inlet pipe alone can complete the job in one hour less time than the hose alone. Find the time that the hose can complete the job alone and the time that the inlet pipe can complete the job alone.
The time that the hose can complete the job alone is
_ hours.
​(Round to the nearest​ tenth.)
The time that the hose can complete the job alone is
_hours.
​(Round to the nearest​ tenth.)

Answer by josgarithmetic(39630) About Me  (Show Source):
You can put this solution on YOUR website!
Inlet Pipe 1%2F%28h-1%29
Hose 1%2Fh
Combined 1%2F3

1%2F3=1%2Fh%2B1%2F%28h-1%29
-
1%2F3=%28h-1%2Bh%29%2F%28h%5E2-h%29
1%2F3=%282h-1%29%2F%28h%5E2-h%29
3%282h-1%29=h%5E2-h
6h-3=h%5E2-h
h%5E2-7h%2B3=0
-
h=%287%2B-+sqrt%2849-4%2A3%29%29%2F2
h=%287%2Bsqrt%2837%29%29%2F2-----------time in hours, hose by itself
about six and a half hours