SOLUTION: Working together gene and robert can mow the lawn in 2 hours. When Gene works alone it takes him 3 hours longer than it takes robert when he works alone. How long does it take robe

Question 812216: Working together gene and robert can mow the lawn in 2 hours. When Gene works alone it takes him 3 hours longer than it takes robert when he works alone. How long does it take robert to mow the lawn by himself.
Answer by Edwin McCravy(20064) (Show Source): You can put this solution on YOUR website!
How long does it take robert to mow the lawn by himself?

Let x = the number of hours it takes Robert to mow the lawn by himself.

So Robert's mowing rate is 1 lawn per x hours or  or .

When Gene works alone it takes him 3 hours longer than it takes robert when he works alone.

Then the number of hours it takes Gene to mow the lawn by himself = x+3

So Gene's mowing rate is 1 lawn per x+3 hours or  or .

Working together gene and robert can mow the lawn in 2 hours.

So their combined working rate is 1 lawn per 2 hours or  or .

The equation comes from 

      

               

Multiply through by LCD = 2x(x+3)

Answer: x = 3 hours. 

Edwin

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