# SOLUTION: A plumber can install a dishwasher in 50 minutes. If the plumber brings his apprentice to help, the job takes 40 minutes. How long would it take the apprentice working alone to ins

Algebra ->  Algebra  -> Exponential-and-logarithmic-functions -> SOLUTION: A plumber can install a dishwasher in 50 minutes. If the plumber brings his apprentice to help, the job takes 40 minutes. How long would it take the apprentice working alone to ins      Log On

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 Click here to see ALL problems on Exponential-and-logarithmic-functions Question 148739: A plumber can install a dishwasher in 50 minutes. If the plumber brings his apprentice to help, the job takes 40 minutes. How long would it take the apprentice working alone to install the dishwasher?Found 2 solutions by oscargut, mangopeeler07:Answer by oscargut(900)   (Show Source): You can put this solution on YOUR website!In 40 minutes the plumber does 40/50 =0.8 of the work so the apprentice does 0.2 of the work (20%) then in 40 min does 20% so 100% of the work is done in 200 min Answer: 200 min Answer by mangopeeler07(462)   (Show Source): You can put this solution on YOUR website!A plumber can install a dishwasher in 50 minutes. So plumber=1/50 because he installs 1/50 of a dishwasher in 1 minute apprentice=x, because we don't know plumber and apprentice=1/40 because together they install 1/40 of a dishwasher in 1 minute 1/50 + x/1=1/40 Common denominator 4/200 + 200x/200 = 5/200 4+200x=5 200x=1 x=1/200 So the apprentice can install 1/200 of a dishwasher in 1 minute So in 200 minutes. 3 hours and 20 minutes