SOLUTION: one electrician can rewire a home in 10 hours. his partner can rewire the same home in 6 hours. how long will it take the two electricians to rewire the if they work together? a

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Question 908342: one electrician can rewire a home in 10 hours. his partner can rewire the same home in 6 hours. how long will it take the two electricians to rewire the if they work together?
a=10
b=6
(a+b)/2 = x
(10 + 6)/2 = x
16/2 = x
8 = x

Found 2 solutions by stanbon, ewatrrr:
Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website!
one electrician can rewire a home in 10 hours. his partner can rewire the same home in 6 hours. how long will it take the two electricians to rewire the if they work together?
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electrician rate:: 1/10 job/hr
partner rate:: 1/6 job/hr
together rate:: 1/x job/hr
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Equation:
rate + rate = together rate
1/10 + 1/6 = 1/x
6x + 10x = 60
16x = 60
x = 3 3/4 hrs (time to do the job together)
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Cheers,
Stan H.
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Answer by ewatrrr(24785) (Show Source):
You can put this solution on YOUR website!
Time together is not an average of the two times:
NOte time together is less time than one person can do it alone.
x time together

6x + 10x = 60
16x = 60
x = 60/16 = 3.75hr