Aladdin and Jasmine were having a race on their magic flying carpets. They left the same starting point for the market at 13 00. Both of them did not change their speed throughout the journey. Aladdin travelled at a constant speed of 60 km/h. When he reached the market at 13 30, Jasmine was 3 km from the market. What is Jasmine’s speed?

To solve this problem, let's break it down step by step:

### 1. Understanding the situation:
- Aladdin and Jasmine both left the same starting point at 13:00.
- Aladdin reached the market at 13:30, which means he traveled for 30 minutes (or 0.5 hours).
- Aladdin's constant speed was 60 km/h.
- When Aladdin reached the market, Jasmine was still 3 km away from the market.
  
### 2. Distance Aladdin traveled:
Since Aladdin traveled for 0.5 hours at 60 km/h:
\[
\text{Distance Aladdin traveled} = 60 \times 0.5 = 30 \text{ km}
\]

Thus, the distance from the starting point to the market is 30 km.

### 3. Distance Jasmine has traveled:
At 13:30, Jasmine is 3 km away from the market, which means she has traveled:
\[
\text{Distance Jasmine traveled} = 30 - 3 = 27 \text{ km}
\]
  
### 4. Time Jasmine has traveled:
Both Aladdin and Jasmine traveled for 0.5 hours (since they started at the same time). Thus, Jasmine also traveled for 0.5 hours.

### 5. Calculating Jasmine's speed:
To find Jasmine's speed, we use the formula for speed:
\[
\text{Speed} = \frac{\text{Distance}}{\text{Time}} = \frac{27 \text{ km}}{0.5 \text{ hours}} = 54 \text{ km/h}
\]

### Answer:
Jasmine's speed is **54 km/h**.

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Do you want further details or have any questions? 

Here are some related questions:
1. What is the formula for speed, and how does it apply to different situations?
2. How would the problem change if Aladdin had taken longer to reach the market?
3. How can we model this situation using algebraic equations?
4. What if Jasmine’s distance from the market was unknown—how could we solve for it?
5. What happens if Jasmine started earlier but at the same speed?

**Tip**: Always remember to keep the units consistent when solving distance, speed, and time problems!

Learn how to calculate Jasmine's speed as she races Aladdin on magic carpets. Given the distance, speed, and time, this problem provides a detailed solution using core concepts of speed and time. Suitable for students in Grades 6-8.

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