Concept explainers
Elisabeth goes on a 5 mile run each Saturday. Her run typically takes her 45 minutes. She wants to increase this distance to 7 miles. Determine the proportion you use to find the time it would take her to run 7 miles. Solve the proportion. What proportion can be used to determine the time it takes for her to run a marathon, which is approximately 26 miles? What is her time?
To find: We are asked to find the proportional equation to find time that would take her to run 7 miles. And solve it. Then find proportional equation to the time to run for 26 miles and the time.
Answer to Problem 6STP
Proportional equation to find 7 miles run is
Proportional equation to run 26 miles is
Her time to run on Marathon is 234 minutes or 3 hours 54 minutes.
Explanation of Solution
Given information: Elisabeth goes 5 miles in 45 minutes. She wants to increase this distance to 7 miles.
Calculation:
Let she take ‘ x’ minutes to run for 7 miles.
And it takes 45 minutes to run for 5 miles.
So, we can set up proportional equation as
Cross multiply,
Divide both sides by 5.
X= 63minutes
We know 60 minutes is 1 hour.So, 63 minutes is 1 hour 3 minutes.
Now, let’s set up proportional equation to run for 26 miles. Let he takes ‘ y’ minutes
The proportional equation is
We can solve it for y . Cross multiply, we get
Divide both sides by 5
Let’s change it to hours. We know 1 hour =60 minutes
So, 234 minutes =
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