56.5k views
5 votes
A running track design is composed of two half circles connected by two straight-line segments. Garrett is jogging on the inner lane (with radius r) while Devin is jogging on the outer (with radius R). If r= 30 meters and R= 33 meters, how much longer does Devin have to run to complete one lap?​

User Anvesh
by
3.8k points

1 Answer

5 votes

Answer:

Devin has to run 3 more meters than Garrett to complete one lap.

Explanation:

Since a running track design is composed of two half circles connected by two straight-line segments, and Garrett is jogging on the inner lane (with radius r) while Devin is jogging on the outer (with radius R), if r = 30 meters and R = 33 meters, to determine how much longer does Devin have to run to complete one lap, the following calculation must be performed:

33 (lane where Devin is jogging) - 30 (lane where Garrett is jogging) = X

33 - 30 = X

3 = X

Therefore, Devin must run 3 more meters than Garrett to complete one lap.

User Kelsier
by
3.8k points