SOLUTION: Danielle can harvest a field in 16 hours. Kathryn can harvest the same field in 12 hours. Find how long it would take them if they worked together.

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Question 715146: Danielle can harvest a field in 16 hours. Kathryn can harvest the same field in 12 hours. Find how long it would take them if they worked together.
Answer by Edwin McCravy(20054)   (Show Source): You can put this solution on YOUR website!
Let the answer be x.  That is, it would take them x hours if they worked together. 
So their harvesting rate is 1 field per x hours,  or .

Danielle can harvest a field in 16 hours.
So Danielle's harvesting rate is 1 field per 16 hours,  or .

Kathryn can harvest the same field in 12 hours.
So Kathryn's harvesting rate is 1 field per 12 hours, or .

Find how long it would take them if they worked together.
The equation comes from
  
                

                              

Multiply that equation through by the LCD = 48x  and solve for x and you'll 
get  or  hours.

Edwin
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