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To solve this problem, let’s break down the scenario mathematically.

### Given Information:
- Salim moves east at a speed of 12 meters per second.
- Mada moves south at a speed of 9 meters per second.
- We need to find the distance rate (relative speed) between Salim and Mada after 10 seconds.

### Solution Steps:

1. **Calculate the distance each person has traveled after 10 seconds.**
   - Distance traveled by Salim = \( 12 \, \text{m/s} \times 10 \, \text{s} = 120 \, \text{m} \)
   - Distance traveled by Mada = \( 9 \, \text{m/s} \times 10 \, \text{s} = 90 \, \text{m} \)

2. **Determine the straight-line distance between Salim and Mada after 10 seconds.**
   Since Salim is moving east and Mada is moving south, their paths form a right triangle with:
   - One leg = 120 meters (Salim's distance).
   - The other leg = 90 meters (Mada's distance).

   Using the Pythagorean theorem:
   \[
   \text{Distance} = \sqrt{(120)^2 + (90)^2} = \sqrt{14400 + 8100} = \sqrt{22500} = 150 \, \text{meters}
   \]

3. **Calculate the rate at which their distance changes (relative speed).**
   Since their speeds are perpendicular, we use the formula for the resultant speed:
   \[
   \text{Relative Speed} = \sqrt{(12)^2 + (9)^2} = \sqrt{144 + 81} = \sqrt{225} = 15 \, \text{meters per second}
   \]

### Answer:
The rate of distance between Salim and Mada after 10 seconds is **15 meters per second**.

Would you like further explanation on any of these steps, or have additional questions?

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Here are some related questions to consider:

1. How would the answer change if Mada was moving in a different direction?
2. What if Salim changed his speed after a few seconds?
3. Can this type of problem be solved using vector components?
4. What if Salim and Mada were both moving diagonally?
5. How could we find the exact distance between them at any time \( t \)?

**Tip:** When dealing with perpendicular movements, the Pythagorean theorem is very useful for calculating the resulting distance.

Mada dan Salim sedang beli jajanan di selasar Gedung B. Karena Salim tidak membawa uang, maka Salim meminta Mada untuk meminjamkan uang seratus. Mada yang tahu bahwa Salim sering terlambat ketika mengembalikan utangnya, namun karena Salim memaksa akhirnya Mada memberikan uang seratus. Setelah membayar akhirnya mereka berpisah, Salim ke arah timur menuju sepeda motornya dengan kecepatan 12 meter per detik, sedangkan Mada ke arah selatan naik tangga ke Gedung A dengan kecepatan 9 meter per detik sambil memikirkan kapan uang seratusnya akan dikembalikan. Laju jarak Salim dan mada setelah 10 detik adalah ____ meter per detik.

Learn how to calculate the relative speed between two moving objects, Salim and Mada, moving at right angles. Salim travels east at 12 m/s, and Mada travels south at 9 m/s. After 10 seconds, the relative speed is determined using the Pythagorean theorem and basic distance calculations. Suitable for Grades 7-9.

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