SOLUTION: a pump can empty a small pond in 5hr. another more efficient pump can do the job in 3hr. how long would it take to empty the pond if both pumps were used?

Question 887483: a pump can empty a small pond in 5hr. another more efficient pump can do the job in 3hr. how long would it take to empty the pond if both pumps were used?
Found 3 solutions by josgarithmetic, MathTherapy, Alan3354:
Answer by josgarithmetic(39617)   (Show Source): You can put this solution on YOUR website!
This combination of rates is simple addition. One job is "empty the pond".
is the combined rate in JOBS per HOUR.
Answer by MathTherapy(10552)   (Show Source): You can put this solution on YOUR website!

a pump can empty a small pond in 5hr. another more efficient pump can do the job in 3hr. how long would it take to empty the pond if both pumps were used?

, or hours.
You can do the check!!
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Answer by Alan3354(69443)   (Show Source): You can put this solution on YOUR website!
a pump can empty a small pond in 5hr. another more efficient pump can do the job in 3hr. how long would it take to empty the pond if both pumps were used?
----------------
The 1st pump does 1/5 of the pond per hour.
The 2nd pump does 1/3 of the pond per hour.
--
Together, they do 1/5 + 1/3 of the pond per hour, = 8/15 of the pond/hour.
--> 15/8 hours/pond

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