Question

Kevin, Conner, and John each walk several miles per day as part of a fitness program. Kevin walks 3 miles less than Conner, and John walks 2 miles more than Conner does. Over 3 days the difference between the number John and Kevin walk is equal to one half the number of miles that Conner walks. How many miles does each person walk each day?

Answer 1

The distance Conner walks each day is 10 miles

The distance Kevin walks each day is 7 miles

The distance John walks each day is 12 miles

Explanation:

The question is a word problem

Let the number of miles Conner walks per day = x

The given inforf the totmation in the question are;

The distance Kevin walks per day = x - 3 miles

The distance John walks per day = x + 2 miles

In three days, the difference between the total distance John walks and the total distance Kevin walks is equal to half the total distance Conner walks

The number of miles each person walks per day is found as follows;

3×(x + 2) - 3×(x - 3) = 3·x/2

3·x + 6 - 3·x - (-9) = 3·x/2

3·x + 6 - 3·x + 9 = 3·x/2

3·x - 3·x + 6 + 9 = 3·x/2

0 + 6 + 9 = 3·x/2

15 = 3·x/2

x = 15×2/3 = 10 miles

x = 10 miles

Therefore, the distance Conner walks each day = 10 miles

The distance Kevin walks per day = (x - 3) miles = (10 - 3) miles = 7 miles

The distance Kevin walks per day = 7 miles

The distance John walks per day = (x + 2) miles = (10 + 2) miles = 12 miles

The distance John walks per day = 12 miles.