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
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-> 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
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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) (Show Source):
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.
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 + = 1
Multiply equation by 84 to clear the denominators, results
7t + 3t = 84
t =
t = 8.4 hrs working together
;
:
Check solution + =
.7 + .3 = 1