# 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)

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 Click here to see ALL problems on Rational-functions 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(57347)   (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) ---- apprentice rate = 1/3x job/hr boss's rate = 1/x job/hr together rate = 1/3 job/hr ---- Equation: rate + rate = together rate 1/3x + 1/x = 1/3 --- 1 + 3 = x x = 4 hrs (time for the boss) 3x = 12 hrs (time for the apprentice) --------------------- Cheers, stan H.