SOLUTION: Jane, Paul and Peter can finish painting the fence in 2 hours. If Jane does the job alone she can finish it in 5 hours. If Paul does the job alone he can finish it in 6 hours. How

Algebra ->  Rate-of-work-word-problems -> SOLUTION: Jane, Paul and Peter can finish painting the fence in 2 hours. If Jane does the job alone she can finish it in 5 hours. If Paul does the job alone he can finish it in 6 hours. How       Log On


   

Question 410571: Jane, Paul and Peter can finish painting the fence in 2 hours. If Jane does the job alone she can finish it in 5 hours. If Paul does the job alone he can finish it in 6 hours. How long will it take for Peter to finish the job alone?
Found 2 solutions by ewatrrr, edjones:
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!


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) About Me  (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