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:C

Explanation:

Given

Diameter of circular lake= 2 miles

average speed=3 miles per hour

Circumference of circular Lake
`=2\pi * r`

`=2\pi 1=6.284 miles`

`time=(Distance)/(speed)`

`t=(6.284)/(3)=2.094 hr`

thus t lies between

2<t<2.5