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.

Respuesta :

Answer:

1/2+ 1/3 = 1/t       t= 72 minutes (1 hour and 12 minutes)

Step-by-step explanation:

1/2+1/3 =t

3/6 +2/6= 1/t

5/6 = 1/t

Cross multiplication

5t =6

t=6/5 =1  1/5

1 hour and 1/5 of an hour

60 minutes /5 = 12 minutes

Answer:

1 hour 12 minutes.

Step-by-step explanation:

Let the number of hours = t

Ted can clear the field = [tex]\frac{t}{3}[/tex]

Jacob can clear the field = [tex]\frac{t}{2}[/tex]

Together they can clear the field = [tex]\frac{t}{3}[/tex] + [tex]\frac{t}{2}[/tex] = 1

[tex]\frac{3t+2t}{6}[/tex] = [tex]\frac{6}{6}[/tex]

2t + 3t = 6

5t = 6

t = [tex]\frac{6}{5}[/tex]

t = 1.2 hours.

converting 1.2 hours = 1 hour 12 minutes.

It would take 1 hour 12 minutes to clear the field together.