SOLUTION: A swimming pool can be filled in 12 hours if water enters through a pipe alone, or in 28 hours if water enters through a hose alone. If the water is entering through both the pipe

Algebra ->  Rate-of-work-word-problems -> SOLUTION: A swimming pool can be filled in 12 hours if water enters through a pipe alone, or in 28 hours if water enters through a hose alone. If the water is entering through both the pipe       Log On


   



Question 278501: A swimming pool can be filled in 12 hours if water enters through a pipe alone, or in 28 hours if water enters through a hose alone. If the water is entering through both the pipe and the hose, how long will it take to fill this pool?
Found 2 solutions by solver91311, ankor@dixie-net.com:
Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


If A can do a job in x time periods, then A can do of the job in 1 time period. Likewise, if B can do the same job in y time periods, then B can do of the job in 1 time period.

So, working together, they can do



of the job in 1 time period.

Therefore, they can do the whole job in:



time periods.


John


Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
A swimming pool can be filled in 12 hours if water enters through a pipe alone,
or in 28 hours if water enters through a hose alone.
If the water is entering through both the pipe and the hose,
how long will it take to fill this pool?
:
Let t = time required when both are used
:
Let the completed job (a full pool) = 1
:
A typical mixture equation
t%2F12 + t%2F28 = 1
Multiply equation by 84 to clear the denominators, results
7t + 3t = 84
t = 84%2F10
t = 8.4 hrs working together
;
:
Check solution
8.4%2F12 + 8.4%2F28 =
.7 + .3 = 1