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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 speed 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

Respuesta :

Answer:The correct option is C. ( 2.0 < t < 2.)

Explanation:

In this question we have given

Diameter =2miles

Radius = 1 mile

We know that

Circumference = [tex]2 \times \pi \times r [/tex]

Circumference = [tex]2 \times \pi \times 1 [/tex]

Speed = 3 miles/ hour

therefore

Time ,

[tex]t= Distance / Speed[/tex]

[tex]t = \fract{2 \pi} {3}\\ = \frac{2\times 3.14 }{3}\\ = 2\times1.05\\ = 2.10s[/tex]

Therefore correct statement for time will be

2.0< t < 2.5

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