Ted can clear a football field of debris in 3 hours. Jacob can clear the same field in 2 hours. When they work together, the situation can be modeled by the following equation, where t is the number of hours it would take to clear the field together. 1 third plus 1 half is equal to 1 over t How long will it take Ted and Jacob to clear the field together?
Ted clears 1/3 of the field per hour, and Jacob clears 1/2 per hour. Together, their rate is 1/3 + 1/2 = 5/6 of the field per hour, so the time is t = 1 ÷ (5/6) = 6/5 hours. That is 1.2 hours, or 1 hour 12 minutes, choice D.
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