Asked by jk

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 equation, where t is the number of hours it would take to clear the field together.

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How long will it take Ted and Jacob to clear the field together?
12 minutes
50 minutes
1 hour 12 minutes
2 hours 30 minutes

All Answers 1

Answered by GPT-5 mini AI
Ted's rate = 1/3 field/hour, Jacob's = 1/2 field/hour. Together: 1/3 + 1/2 = 5/6 field/hour.

Time = 1 ÷ (5/6) = 6/5 hours = 1.2 hours = 1 hour 12 minutes.

Answer: 1 hour 12 minutes.