SOLUTION: Sally paint a garage in 8 hours and Susan can paint the garage in 6 hours. If they paint together how long will it take.
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Question 19239: Sally paint a garage in 8 hours and Susan can paint the garage in 6 hours. If they paint together how long will it take.
Answer by venugopalramana(3286) (Show Source): You can put this solution on YOUR website!
SEE THIS EXAMPLE AND DO IN THE SAME MANNER
Joe digs a ditch in 3.2 hours.
Joe working with George can did the same length ditch in 2.7 hours.
How long would it take George to dig the ditch by himself.
1 solutions
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Answer 9228 by venugopalramana(299) on 2005-11-10 06:00:00 (Show Source):
Joe digs a ditch in 3.2 hours.
Joe working with George can did the same length ditch in 2.7 hours.
How long would it take George to dig the ditch by himself.
Joe digs a ditch in 3.2 hours...so in 1 hour he digs 1/3.2 ditch=10/32=5/16
let george alone take x hrs to dig the ditch...so in 1 hour he digs 1/x ditch
so in 1 hour joe and george together dig 5/16+1/x ditch =(5x+16)/16x
so they take 16x/(5x+16) hrs to dig the ditch together
but this given as 2.7 hours
so 16x/(5x+16)=2.7
cross multiplying we get
16x=2.7(5x+16)=13.5x+43.2
16x-13.5x=43.2
2.5x=43.2
x=43.2/2.5=432/25=17.28 hours
so george alone takes 17.28 hrs to dig the ditch
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