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(20064) (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