SOLUTION: Leonard, Pria, and Raj can dust a mansion together in 2 hours. If Pria does the job alone, she can dust the mansion in 5 hours. If Raj works alone, he can dust the mansion in 6 h

Algebra ->  Customizable Word Problem Solvers  -> Mixtures -> SOLUTION: Leonard, Pria, and Raj can dust a mansion together in 2 hours. If Pria does the job alone, she can dust the mansion in 5 hours. If Raj works alone, he can dust the mansion in 6 h      Log On

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Question 866356: Leonard, Pria, and Raj can dust a mansion together in 2 hours. If Pria does the job alone, she can dust the mansion in 5 hours. If Raj works alone, he can dust the mansion in 6 hours. If Leonard works alone, how long would it take him to dust the mansion?
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!

Hi
Let x represent time for Leonard alone
1%2F5+%2B+1%2F6+%2B+1%2Fx+=+1%2F2 |Multiplying thru by 30x so as all denominators = 1
6x + 5x + 30 = 15x
30 = 4x
30/4 = x = 7.5 hr