SOLUTION: it takes you 8 hours to dig a hole. it takes you and your brother 5 hours to dig that same hole together. if your brother were to dig the hole by himself, how long would it take hi

Question 895935: it takes you 8 hours to dig a hole. it takes you and your brother 5 hours to dig that same hole together. if your brother were to dig the hole by himself, how long would it take him?
Answer by Edwin McCravy(20055) (Show Source): You can put this solution on YOUR website!
It takes you 8 hours to dig a hole.

Your rate is 1 hole per 8 hours or 

 =

if your brother were to dig the hole by himself, how long would it take him?

Let the answer be x hours.
Your brother's rate is 1 hole per x hours or 

 =

it takes you and your brother 5 hours to dig that same hole together.


Then your combined rate is 1 hole per 5 hours or 

 = 

The equation comes from:

  

So

     

        

Multiply through by LCD = 40x


        
             
            

             

             

             

Edwin

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