Question

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

Answer 1

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 =
`2 * \pi * r`

Circumference =
`2 * \pi * 1`

Speed = 3 miles/ hour

therefore

Time ,

`t= Distance / Speed`

`t = \fract{2 \pi} {3}\\ = (2* 3.14 )/(3)\\ = 2*1.05\\ = 2.10s`

Therefore correct statement for time will be

2.0< t < 2.5