Question

If we let x denote the length of the morning walk, Ahmed walks x + 2.5x or 3.5x miles each day. At the end of the week he has walked 7 times as far and he said that this was 30 miles.

Solve the equation to find out the distance of Ahmed’s morning walk x. Explain your reasoning and verify your answer.

Answer 1

x = 1.2245

Explanation:

Ahmed walks 3.5x miles each day.

Thus, at the end of a week (7 days), he would walk;

3.5x * 7 = 24.5x miles

But he said that his walk in a week = 30 miles. So that,

24.5x miles = 30 miles

24.5x = 30

x =
`(30)/(24.5)`

= 1
`(11)/(49)`

x = 1.2245

To verify the answer,

24.5x = 24.5(1.2245)

= 30.00