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.

Answer 1

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

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 2

1 hour 12 minutes.

Explanation:

Let the number of hours = t

Ted can clear the field =
`(t)/(3)`

Jacob can clear the field =
`(t)/(2)`

Together they can clear the field =
`(t)/(3)` +
`(t)/(2)` = 1

`(3t+2t)/(6)` =
`(6)/(6)`

2t + 3t = 6

5t = 6

t =
`(6)/(5)`

t = 1.2 hours.

converting 1.2 hours = 1 hour 12 minutes.

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