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:

  A.  0.5< t < 0.75

Step-by-step explanation:

We can use the relation ...

  time = distance / speed

to find the number of hours it took Johanna to walk around the lake.

  time = (2 mi)/(3 mi/h) = 2/3 h

2/3 is between 1/2 and 3/4, so the first answer choice describes the interval containing Johanna's time:

  0.5 < t < 0.75