Question

Wayne, Winston, and Wilfred walked for an hour. Winston and Wilfred walked the same number of miles. Winston walked 2 miles less than the miles Wayne walked. Wilfred walked miles more than the miles Wayne walked. How many miles did they walk?

Answer 1

Wayne walked 2 miles, Winston walked 0 miles, and Wilfred walked 4 miles.

Step-by-step explanation:

To find the number of miles each person walked, let's represent the number of miles Wayne walked as x. Since Winston walked 2 miles less than Wayne, we can represent his distance as x - 2. Wilfred walked x more miles than Wayne, so his distance can be represented as x + x = 2x.

According to the problem, Winston and Wilfred walked the same number of miles, so we can set up the equation x - 2 = 2x. Solving for x, we get x = 2.

Therefore, Wayne walked 2 miles, Winston walked 2 - 2 = 0 miles, and Wilfred walked 2 + 2 = 4 miles.

Answer 2

Wayne walked 5.25 miles, and both Winston and Wilfred walked 3.25 miles each.

Let's define the variable
`\( W \)` to represent the number of miles Wayne walked in an hour.

Based on the given information:

- Winston walked 2 miles less than Wayne, so Winston walked
`\( W - 2 \)` miles.

- Wilfred walked
`\( (3)/(2) \)` miles more than
`\( (1)/(3) \)` the miles Wayne walked, so Wilfred walked
`\( (1)/(3)W + (3)/(2) \)` miles.

We are given that Winston and Wilfred walked the same number of miles, so we can set their distances equal to each other and solve for \( W \):

`\[ W - 2 = (1)/(3)W + (3)/(2) \]`

Now we'll solve for
`\( W \)`:

`\[ W - (1)/(3)W = 2 + (3)/(2) \]`

`\[ (2)/(3)W = (4)/(2) + (3)/(2) \]`

`\[ (2)/(3)W = (7)/(2) \]`

To find
`\( W \)`, we multiply both sides by the reciprocal of
`\( (2)/(3) \)`, which is
`\( (3)/(2) \)`:

`\[ W = (7)/(2) * (3)/(2) \]`

`\[ W = (7 * 3)/(2 * 2) \]`

`\[ W = (21)/(4) \]`

`\[ W = 5.25 \]`

So Wayne walked 5.25 miles. Now we can find how many miles Winston and Wilfred walked:

For Winston:

`\[ W - 2 = 5.25 - 2 = 3.25 \]` miles.

For Wilfred:

`\[ (1)/(3)W + (3)/(2) = (1)/(3) * 5.25 + (3)/(2) = 1.75 + 1.5 = 3.25 \]` miles.

In conclusion, Wayne walked 5.25 miles, and both Winston and Wilfred walked 3.25 miles each.

the complete Question is given below:

Wayne, Winston, and Wilfred walked for an hour. Winston and Wilfred walked the same number of miles. Winston walked 2 miles less than □ the miles Wayne walked. Wilfred walked 3/2 miles more than 1/3 the miles Wayne walked. A variable selected to solve this problem should represent the number of miles walked in an hour. In that hour, Wayne would have walked miles and Winston and Wilfred would have walked miles each. So, Wayne walked Winston and Wilfred.