SOLUTION: An electrician works thrice as fast as his apprentice. Together they can complete a rewiring job in 3 hours. How long would it take each of them working alone? (Show Your Solution)

Question 378810: An electrician works thrice as fast as his apprentice. Together they can complete a rewiring job in 3 hours. How long would it take each of them working alone? (Show Your Solution)
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
An electrician works thrice as fast as his apprentice. Together they can complete a rewiring job in 3 hours. How long would it take each of them working alone? (Show Your Solution)
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apprentice rate = 1/3x job/hr
boss's rate = 1/x job/hr
together rate = 1/3 job/hr
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Equation:
rate + rate = together rate
1/3x + 1/x = 1/3
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1 + 3 = x
x = 4 hrs (time for the boss)
3x = 12 hrs (time for the apprentice)
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Cheers,
stan H.
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