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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:C

Step-by-step explanation:

Given

Diameter of circular lake= 2 miles

average speed=3 miles per hour

Circumference of circular Lake[tex]=2\pi \times r[/tex]

[tex]=2\pi 1=6.284 miles[/tex]

[tex]time=\frac{Distance}{speed}[/tex]

[tex]t=\frac{6.284}{3}=2.094 hr[/tex]

thus t lies between

2<t<2.5

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