SOLUTION: Barry can do a certain job in 3 hours, whereas Sanchez 5 hours to do the same job. How long would it take them to do the job working together?

Question 166515: Barry can do a certain job in 3 hours, whereas Sanchez 5 hours to do the same job. How long would it take them to do the job working together?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Barry can do a certain job in 3 hours, whereas Sanchez 5 hours to do the same job. How long would it take them to do the job working together?
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Barry DATA:
time = 3 hrs/job ; rate = 1/3 job/hr.
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Sanchez DATA:
time = 5 hr/job ; rate= 1/5 job/hr
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Together DATA:
time = x hr/job ; rate = 1/x job/hr.
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EQUATION:
rate + rate = together rate
1/3 + 1/5 = 1/x
5x + 3x = 15
8x = 15
x = 15/8 hrs. (time to do the job together)
Comment: 15/8 hrs. = 1 hr. and 52 minutes and 50 seconds
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Cheers,
Stan H.
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