SOLUTION: A can do a piece of work in 7 days and 9 hours each and B can do it in 6 days of 7 hours each. How long will they take to do it, working together 8 2/5 hours?

Algebra ->  Rate-of-work-word-problems -> SOLUTION: A can do a piece of work in 7 days and 9 hours each and B can do it in 6 days of 7 hours each. How long will they take to do it, working together 8 2/5 hours?      Log On


   



Question 777952: A can do a piece of work in 7 days and 9 hours each and B can do it in 6 days of 7 hours each. How long will they take to do it, working together 8 2/5 hours?
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
A can do a piece of work in 7 days and 9 hours each and B can do it in 6 days of 7 hours each. How long will they take to do it, working together
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A DATA:
time = 63 hrs/job ; rate = 1/63 job/hr
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B DATA:
time = 42 hrs/job ; rate = 1/42 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
1/63 + 1/42 = 1/x
42x + 63x = 42*63
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105x = 2646
x = 25.02 hrs (hrs to do the job together)
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Cheers,
Stan H.
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