Betty and Tracy planned a 5000km trip in an automobile with five tires, of which four are in use at any time. They plan to interchange them so that each tire is used the same number of kilometers. What is the number of kilometers each tire will be used?

I don't get this question. Can anyone help?

I can see two ways of solving this problem.

5,000 / 5 = 1,000

4 * 1,000 = 4,000 km

or

Each tire will be used 80% of the trip.

0.8 * 5,000 = 4,000

Sure, I can help you with that!

To find out how many kilometers each tire will be used, we need to divide the total distance of 5000 km by the number of tires being used at a given time (which is 4 in this case) and then divide that by the total number of tires (which is 5).

Here's how you can calculate it step-by-step:

1. Calculate the total distance covered by all the tires:
5000 km

2. Calculate the number of tires used at a given time:
4 tires

3. Divide the total distance by the number of tires used at a given time:
5000 km / 4 tires = 1250 km

4. Calculate the total number of tires:
5 tires

5. Divide the distance covered by each tire by the total number of tires:
1250 km / 5 tires = 250 km

So, each tire will be used for 250 km in this trip.

Certainly! Let's break down the problem to understand it better.

Betty and Tracy are planning a 5000km trip in an automobile. They have five tires, but only four are in use at any given time. They want to interchange the tires in such a way that each tire is used for an equal number of kilometers.

To find the number of kilometers each tire will be used, we can first determine how many rotations each tire will make. Since all the tires are used the same number of times, we can assume that they will make the same number of rotations.

Here's an approach to solve the problem step by step:

Step 1: Find the total number of rotations for all tires combined:
- Since each rotation covers the circumference of a tire, the total distance covered by all the rotations will give us the total distance traveled.
- The circumference of a tire can be calculated using the formula: circumference = 2 * π * radius.
- Assuming all tires have the same radius, we can calculate the total distance traveled: 5000km.

Step 2: Calculate the total number of rotations using the distance and the circumference:
- Let's assume the total number of rotations made by each tire is 'x'.
- Since there are four tires in use at any given time, the total distance traveled will be covered by those four tires over 'x' rotations.
- So, the equation will be: 4x = 5000km.

Step 3: Solve the equation to find the value of 'x':
- Divide both sides of the equation by 4: x = 5000km / 4 = 1250km.

Therefore, each tire will be used for 1250 kilometers.

In summary, by dividing the total distance traveled by the number of tires in use at any given time, we can find the number of kilometers each tire will be used.