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The question in the image involves Charmaine and Ali walking around a track. It states:

- Charmaine walks each lap in 5 minutes.
- Ali walks each lap in 9 minutes.
- They start at the same time and walk until they meet again at the starting line.

The following questions are asked:
1. How many laps does Charmaine complete?
2. How many laps does Ali complete?
3. How much time does it take for them to meet again at the starting line?

### Solution:
To solve this, we need to find the least common multiple (LCM) of their lap times because they will meet again at the starting point after a whole number of laps.

- Charmaine completes 1 lap in 5 minutes.
- Ali completes 1 lap in 9 minutes.

The LCM of 5 and 9 is 45 minutes. This is the time after which they both will meet at the starting line again.

1. **How many laps does Charmaine complete?**
   \[
   \frac{45 \text{ minutes}}{5 \text{ minutes per lap}} = 9 \text{ laps}
   \]

2. **How many laps does Ali complete?**
   \[
   \frac{45 \text{ minutes}}{9 \text{ minutes per lap}} = 5 \text{ laps}
   \]

3. **How much time does it take for them to meet again?**
   \[
   \text{It takes } 45 \text{ minutes}.
   \]

Would you like more details on how to compute the LCM, or do you have any questions?

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Here are 5 follow-up questions based on this problem:

1. What would happen if Charmaine's lap time were 6 minutes instead of 5 minutes?
2. How can you find the least common multiple of two numbers in general?
3. What if Ali's lap time was faster, say 4 minutes—how would this change the solution?
4. How does the relative speed of Charmaine and Ali affect when they meet again?
5. Can we solve a similar problem if both started at different times?

### Tip:
Finding the least common multiple (LCM) is a great way to solve problems where two events repeat at different intervals and we need to find when they coincide!

Charmaine and Ali walk around a track. Charmaine walks each lap in 5 minutes. Ali walks each lap in 9 minutes. The two of them begin at the starting line at the same time. They walk until they meet again at the starting line. How many laps does Charmaine complete? How many laps does Ali complete? How much time does it take for them to meet again at the starting line?

In this problem, Charmaine and Ali walk laps around a track. Charmaine completes a lap every 5 minutes, while Ali takes 9 minutes per lap. Find how many laps each completes and the time they take to meet again at the starting line using the Least Common Multiple (LCM) method. Ideal for students in Grades 6-8.

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