SOLUTION: Problem: Recovering golf balls. Susan and Joan are diving for golf balls in a large water trap. Susan recovers a golf ball every 0.016 hour while Joan recovers a ball every 0.025 h

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Question 143539: Problem: Recovering golf balls. Susan and Joan are diving for golf balls in a large water trap. Susan recovers a golf ball every 0.016 hour while Joan recovers a ball every 0.025 hour. If both are working, then at what rate (in golf balls per hour) are they recovering golf balls?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Susan's rate + Joan's rate = Rate working together
In words:
(1 golfball / .016 hrs) + (1 golfball / .025 hrs) = (x golfballs / 1 hrs)
1%2F.016+%2B+1%2F.025+=+x
multiply both sides by .016%2A.025
.025+%2B+.016+=+%28.016%2A.025%29%2Ax
.0004x+=+.041
x+=+102.5
They are recovering 102.5 golfballs per hr working together
check answer:
1%2F.016+%2B+1%2F.025+=+x
62.5+%2B+40+=+102.5
102.5+=+102.5
OK