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 < 0.75B. 1.75< t < 2.0C. 2.0 < t < 2.5D. 2.5 < t < 3.0E. 3 < t < 3.5

Answer 1

Option C is the answer.

Explanation:

Given diameter is = 2 miles

So, radius will be = 1 mile

Let t represents the number of hours it took Johanna to walk completely around the lake.

Now, the circumference is given as:
`2\pi r`

So, circumference =
`2(3.14)(1)` = 6.28 miles

Johanna's speed = 3 miles/ hour

We know the formula
`Time=Distance / Speed`

t =
`6.28/3`

t = 2.09 hours

This is greater than 2, but less than 2.5, therefore, 2.0 < t < 2.5 is the answer.