Question

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.

How long will it take Ted and Jacob to clear the field together?

Answer 1

Answer:

$\frac{6}{5}$ of an hour = 1 1/5 hour = 72 minutes

Step-by-step explanation:

$\frac{1}{3} h + \frac{1}{2}h = 1\\\\\frac{2}{6} h + \frac{3}{6}h = 1\\\\\\\frac{5 }{6} h =1\\\\h=\frac{6}{5}$

Answer 2

The time it will take Ted and Jacob to clear the field together is; t = 1.2 hours.

• We are told that;

Ted can clear the football field in 3 hours. Thus, portion of field he can clear = ⅓t

Where t is number of hours

• Jacob can clear the same field in 2 hours.

Thus, portion that Jacob can clear = ½t.

• If they work together and finish together, it means that;

⅓t + ½t = 1

Multiply through by 6 to get;

2t + 3t = 6

5t = 6

t = 6/5

t = 1.2 hours

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