Questions on Word Problems: Rate of work, PAINTING, Pool Filling answered by real tutors!

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Question 150111: Gail can type a chapter book in 4 hours jack can type a chapter book in 10 hours. How long would it take them to type a chapter book together?: Gail can type a chapter book in 4 hours jack can type a chapter book in 10 hours. How long would it take them to type a chapter book together?
Answer by stanbon(18725) About Me  (Show Source):
You can put this solution on YOUR website!
Gail can type a chapter book in 4 hours jack can type a chapter book in 10 hours. How long would it take them to type a chapter book together?
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Gail DATA:
time = 4 hrs/job ; rate = 1/4 job/hr
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Jack DATA:
time = 10 hrs/job ;rate = 1/10 job/hr
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Together DATA:
time = x hrs/job ; rate = 1/x job/hr
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EQUATION:
rate + rate = together rate
1/4 + 1/10 = 1/x
5x + 2x = 20
7x = 20
x = 20/7 = 2.857.. hrs (time to do the job together)
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Cheers,
Stan H.