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.

Algebra ->  Rate-of-work-word-problems -> 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.       Log On


   



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) About Me  (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 1_field%2F11_hr or 1%2F11field%2Fhr 

>>...Kayla can harvest the same field in 16 hours...<<
So Kayla's havesting rate is 1 field per 16 hours or 1_field%2F16_hr or 1%2F16field%2Fhr 

>>...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 1_field%2Fx_hr or 1%2Fxfield%2Fhr

The equation comes from %28matrix%284%2C1%2C%0D%0A%0D%0A%22Kristin%27s%22%2C+rate%2C+in%2C+%22field%2Fhr%22%29%29 + %28matrix%284%2C1%2C%0D%0A%0D%0A%22Kayla%27s%22%2C+rate%2C+in%2C+%22field%2Fhr%22%29%29 = %28matrix%285%2C1%2C%0D%0A%0D%0ATheir%2C+combined%2C+rate%2C+in%2C+%22field%2Fhr%22%29%29

                        1%2F11%22%22%2B%22%221%2F16%22%22=%22%221%2Fx

Multiply through by LCD 176x

                    16x + 11x = 176
                          27x = 176
                            x = 176%2F27
                            x = 6%2614%2F27 hours

Edwin