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30 March, 22:33

A circular jogging track forms the edge of a circular lake that has a diameter of 2 miles. Johanna walked 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

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  1. 30 March, 23:05
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    C. 2.0 < t < 2.5

    Step-by-step explanation:

    Diameter of track (D) = 2 miles, Average rate (A) = 3 miles per hour

    A = distance / time

    time (t) = distance/A

    distance around the track (circumference) = πD = 3.142 * 2 miles = 6.284 miles

    t = 6.284miles/3miles/hour = 2.1 hour

    Therefore, 2.0 < t < 2.5
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