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Klio2033 [76]
3 years ago
5

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

Mathematics
2 answers:
Nadya [2.5K]3 years ago
5 0

Answer:

1 hour 12 minutes.

Step-by-step explanation:

Let the number of hours = t

Ted can clear the field = \frac{t}{3}

Jacob can clear the field = \frac{t}{2}

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

\frac{3t+2t}{6} = \frac{6}{6}

2t + 3t = 6

5t = 6

t = \frac{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.

Aleonysh [2.5K]3 years ago
4 0

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

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