A circular jogging track forms the edge of a circular lake that has a diameter of 2 miles. Johanna walks once around the track at the average rate of 3 miles per hour. If t represents the number of hours it took Johanna to walk completely around the lake, which of the following is a correct statement? A. 0.5< t < 0.75

B. 1.75< t < 2.0

C. 2.0 < t < 2.5

D. 2.5 < t < 3.0

E. 3 < t < 3.5

Question

Mathematics

Cherish Erickson

23 April, 04:54

A circular jogging track forms the edge of a circular lake that has a diameter of 2 miles. Johanna walks once around the track at the average rate of 3 miles per hour. If t represents the number of hours it took Johanna to walk completely around the lake, which of the following is a correct statement? A. 0.5< t < 0.75

B. 1.75< t < 2.0

C. 2.0 < t < 2.5

D. 2.5 < t < 3.0

E. 3 < t < 3.5

+5

Answers (1)

Know the Answer?

Douglas Peck · Answer 1

Answer:C 2.0< t < 2.50

Step-by-step explanation:

Diameter of circular lake = 2 miles

Radius of the circular lake = 1 mile

Circumference of the circular lake = 2 pi

Speed of Joanna = 3mph

Time t = distance / speed = circumference of lake / speed

t = 2 pi / 3 = (2 * 3.142) / 3

t = 6.284/3 = 2.09

This is greater than 2 but less than 2.5, therefore statement C is correct