Heather and Kim left the hard ware store at the same time.They drove in opposite directions. Kim drove 20km/h faster than heather.After four hours they were 560 kn apart.Find heathers speed 

Let's define:

- \( x \) as Heather's speed (in km/h).
- Kim's speed is \( x + 20 \) km/h, since she drove 20 km/h faster than Heather.

They both drove for 4 hours, and after 4 hours they were 560 km apart. The total distance covered by both of them combined is 560 km.

We can set up the equation for the total distance as:

\[
4x + 4(x + 20) = 560
\]

Now let's solve this step by step:

\[
4x + 4(x + 20) = 560
\]
\[
4x + 4x + 80 = 560
\]
\[
8x + 80 = 560
\]
\[
8x = 560 - 80
\]
\[
8x = 480
\]
\[
x = \frac{480}{8} = 60
\]

So, Heather's speed is \( 60 \) km/h.

### Summary:
- Heather's speed is 60 km/h.
- Kim's speed is \( 60 + 20 = 80 \) km/h.

Let me know if you want more details or have any questions!

Here are 5 related questions you might explore:
1. How far did Heather travel in 4 hours?
2. How far did Kim travel in 4 hours?
3. If they drove for 5 hours, what would the total distance be?
4. What would happen to the total distance if Kim drove 30 km/h faster instead of 20 km/h?
5. If Heather reduced her speed by 10 km/h, what would the total distance be in 4 hours?

**Tip**: When solving distance problems, always start with the formula \( \text{Distance} = \text{Speed} \times \text{Time} \) to organize the relationship between variables!

Heather and Kim left the hardware store at the same time. They drove in opposite directions. Kim drove 20 km/h faster than Heather. After four hours they were 560 km apart. Find Heather's speed.

Learn how to solve a distance-speed-time problem where two people drive in opposite directions with one driving faster. Find Heather's speed and understand the key algebraic steps used in this real-life scenario. Suitable for students in Grades 8-10.

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