Question

A 5- kilometer race is a little over 3 miles long. It is best to start by running a shorter distance and then gradually increase your running distance. This chart will help you to establish a running plan to ensure you are ready for race day.

Week 1 = 1 mile
Week 2 = 1 1/2 miles
Week 3 = 1 3/4 miles
Week 4 = 2 miles
Week 5 = 2 1/2 miles
Week 6 = 2 3/4 miles
Week 7 = 3 miles
Week 8 = 3 miles

Which week show the greatest increase in distance over the previous week?
a. Week 2 and 4
b. Week 3 and 6
c. Week 3 and 7
d. Week 2 and 5

Answer 1

The greatest increase in running distance over the previous week occurs in Week 2 and Week 5, with each week showing a 0.5 mile increase.

Step-by-step explanation:

To determine which week shows the greatest increase in distance over the previous week in the student's running plan, we compare the differences in running distances from week to week:

• From Week 1 to Week 2: 1 mile to 1 1/2 miles = 0.5 mile increase
• From Week 2 to Week 3: 1 1/2 miles to 1 3/4 miles = 0.25 mile increase
• From Week 3 to Week 4: 1 3/4 miles to 2 miles = 0.25 mile increase
• From Week 4 to Week 5: 2 miles to 2 1/2 miles = 0.5 mile increase
• From Week 5 to Week 6: 2 1/2 miles to 2 3/4 miles = 0.25 mile increase
• From Week 6 to Week 7: 2 3/4 miles to 3 miles = 0.25 mile increase

Comparing these increases, the weeks with the greatest increase are Week 2 and Week 5, each with a 0.5 mile increase over the previous week. So, the correct answer is (d) Week 2 and 5.