It takes Franklin 14 hours to make a 200 -square-foot cement patio. It takes Scott 10 hours to make the same size patio. Which equation can be used to find x , the number of hours it would take Franklin and Scott to make the patio together?

Franklin makes 1/14 of the patio per hour, and Scott makes 1/10 of the patio per hour. Working together, their rates add, so in x hours they complete x/14 + x/10 of a patio. Setting that total equal to 1 whole patio gives (1/14)x + (1/10)x = 1, which is choice B.

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