Question

Delancey plans to run at least 6 miles each week for her health. Delancey has a circular route in the neighborhood to run. Once around that route is 420 yards. If Delancey runs that route 20 times during the week, will she cover at least 6 miles? Explain.

a. Yes, because 6 miles Is 10,560 yards, and 20 times around the route is 8,400 yards, which is less than 6 miles.
b. No, because 6 miles is 9,600 yards, and 20 times around the route is 8,400 yards, which is less than 6 miles.

Answer 1

Delancey's 20 laps of a 420-yard route total 8,400 yards, which is less than the 10,560 yards in 6 miles, so she did not meet her goal.

Step-by-step explanation:

Delancey plans to cover at least 6 miles by running a circular route. There are 1760 yards in a mile, so 6 miles is equal to 6 × 1760, which is 10,560 yards. Delancey runs the route, which is 420 yards long, 20 times, totaling 420 × 20, which amounts to 8,400 yards.

Comparing Delancey's target distance with the actual distance covered:

• 6 miles goal = 10,560 yards
• 20 laps of 420 yards = 8,400 yards

Use this calculation to confirm that 8,400 yards is less than 10,560 yards. Therefore, answer b is correct: No, because she ran less than 6 miles.