Question

Aaliyah goes on a 5 mile run each Saturday. Her run typically takes her 45 minutes. She wants to increase the distance to 7 miles. Determine the proportion you use to fine 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?

Answer 1

To determine the time it would take Aaliyah to run 7 miles, we can set up a proportion relating the distance and time of her run:

5 miles / 45 minutes = 7 miles / x minutes

where x is the time it would take her to run 7 miles.

To solve for x, we can cross-multiply and simplify:

5 miles * x = 45 minutes * 7 miles

5x = 315

x = 63 minutes

Therefore, it would take Aaliyah 63 minutes to run 7 miles.

To determine the time it takes for her to run a marathon, which is approximately 26 miles, we can use the same proportion:

5 miles / 45 minutes = 26 miles / y minutes

where y is the time it would take her to run a marathon.

To solve for y, we can cross-multiply and simplify:

5 miles * y = 45 minutes * 26 miles

5y = 1170

y = 234 minutes

Therefore, it would take Aaliyah 234 minutes (or 3 hours and 54 minutes) to run a marathon.