# SOLUTION: Angela takes 40 minutes to dust and clean her home while her sister rani takes an hour (6o min) to do same work. One day their mother joins the two sisters and together the three

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 Click here to see ALL problems on Miscellaneous Word Problems Question 480874: Angela takes 40 minutes to dust and clean her home while her sister rani takes an hour (6o min) to do same work. One day their mother joins the two sisters and together the three of them dust and clean their house in just 15 min. How long would their mother take if she did the job alone.Answer by nerdybill(6951)   (Show Source): You can put this solution on YOUR website! Angela takes 40 minutes to dust and clean her home while her sister rani takes an hour (6o min) to do same work. One day their mother joins the two sisters and together the three of them dust and clean their house in just 15 min. How long would their mother take if she did the job alone. . Let x = time (min) for mother to do it alone then 15(1/40 + 1/60 + 1/x) = 1 multiplying both sides by 2400x: 15(60x + 40x + 2400) = 2400x 15(100x + 2400) = 2400x 1500x + 36000 = 2400x 36000 = 900x 40 mins = x