Hi

Let x represent the time it would take Peter solo

Question states*** Per hour the Equalizer

 1/5 + 1/6 + 1/x = 1/2

Solving for x  

 6x + 5x + 30 = 15x   |Multiplying thru by 30x so as all denominators = 1

         30 = 4x

         x = 30/4 or 7.5 hrs, time it would take Peter solo



CHECKING our Answer***

   6/30 + 5/30 + 4/30 = 15/30 = 1/2 

Answer by edjones(8007)   (Show Source): You can put this solution on YOUR website!
 In one hr jane doe 1/5 the job, paul does 1/6 and peter does 1/x and together they can do 1/2 the job in one hr.

1/5 + 1/6 + 1/x = 1/2

6x+5x+30=15x multiply each side by 30x LCM.

-4x=-30

x=15/2 hrs

.

Ed 

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