SOLUTION: If Louis can rake leaves off a lawn in 58 minutes, and Ron can do the same job in 35 minutes, how long would it take them to do the job if they work together?

Algebra ->  Rate-of-work-word-problems -> SOLUTION: If Louis can rake leaves off a lawn in 58 minutes, and Ron can do the same job in 35 minutes, how long would it take them to do the job if they work together?       Log On


   

Question 962366: If Louis can rake leaves off a lawn in 58 minutes, and Ron can do the same job in 35 minutes, how long would it take them to do the job if they work together?

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
If Louis can rake leaves off a lawn in 58 minutes, and Ron can do the same job in 35 minutes, how long would it take them to do the job if they work together?
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Louis rate:: 1/58 job/minute
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Ron rate:: 1/35 job/minute
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together rate: 1/x job/min
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Equation:
rate + rate = together rate
1/58 + 1/35 = 1/x
35x + 58x = 35*58
93x = 35*58
x = 21.83 min = 21 min 49.8 seconds (time to do the job together)
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Cheers,
Stan H.
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