# SOLUTION: John can wash and wax a car in 4 hours. Max can wash and wax a car in 5 hours. How long would it take them to do it together?

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 Click here to see ALL problems on Evaluation Word Problems Question 441446: John can wash and wax a car in 4 hours. Max can wash and wax a car in 5 hours. How long would it take them to do it together?Answer by stanbon(57953)   (Show Source): You can put this solution on YOUR website!John can wash and wax a car in 4 hours. Max can wash and wax a car in 5 hours. How long would it take them to do it together? ------------------------------------ John's rate = 1/4 job/hr Max's rate = 1/5 job/hr --- Together rate = 1/x job/hr ------------------------------- Equation: rate + rate = together rate 1/4 + 1/5 = 1/x Multiply thru by 20x to get: 5x + 4x = 20 9x = 20 x = 20/9 = 2 2/9 hrs (time to do the job together) ---- 2 2/9 hrs = 2 hrs (2/9)60 minutes = 13 min 20 seconds --- Final Answer: 2 hrs 13 min 20 seconds ====================================== Cheers, Stan H.