SOLUTION: Working alone, it takes Kristin 11 hours to harvest a field. Kayla can harvest the same field in 16 hours. Find how long it would take them if they worked together.

Question 737587: Working alone, it takes Kristin 11 hours to harvest a field. Kayla can harvest the same field in 16 hours. Find how long it would take them if they worked together.
Answer by AnlytcPhil(1806) (Show Source): You can put this solution on YOUR website!
>>...Working alone, it takes Kristin 11 hours to harvest a field...<<

So Kristin's havesting rate is 1 field per 11 hours or  or

>>...Kayla can harvest the same field in 16 hours...<<

So Kayla's havesting rate is 1 field per 16 hours or  or

>>...Find how long it would take them if they worked together...<<

Let the answer be x hours

So their combined havesting rate is 1 field per x hours or  or 

The equation comes from  +  = 

                        

Multiply through by LCD 176x

                    16x + 11x = 176
                          27x = 176
                            x = 
                            x =  hours

Edwin

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