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

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) (Show Source): You can put this solution on YOUR website!



Hi

Let x represent time for Leonard alone

  |Multiplying thru by 30x so as all denominators = 1

   6x + 5x + 30 = 15x

             30 = 4x

             30/4 = x = 7.5 hr     

 

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