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Elizabeth goes on a 5-mile run each Saturday.Her run typically takes her 40 minutes.She wants to increase the distance to 7 miles.

User MaxF
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2 Answers

5 votes

Final answer:

To increase her distance from 5 miles to 7 miles, Elizabeth can use the concept of ratio. By setting up a proportion, we can find that it will take Elizabeth approximately 56 minutes to run 7 miles.

Step-by-step explanation:

To increase her distance from 5 miles to 7 miles, Elizabeth can use the concept of ratio. The ratio of the new distance to the old distance remains the same. Let's find the ratio:

  1. Old distance: 5 miles
  2. New distance: 7 miles
  3. Ratio of new distance to old distance: 7/5

Now, we can set up a proportion to find the new time it will take Elizabeth to run 7 miles:

40 minutes = x minutes

Using the proportion:

40/5 = x/7

Cross multiplying, we get:

5x = 280

Dividing by 5, we find:

x = 56

Therefore, it will take Elizabeth approximately 56 minutes to run 7 miles.

User Paulo Hgo
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5 votes
It would take Elizabeth 56 minutes.
User Rick Wheeler
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7.4k points