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The problem states:

**Kyle rides his bike 6 miles in 30 minutes. Assuming he rides at a steady speed, write a proportion that could be used to determine how long it would take him to ride his bike 15 miles.**

### Solution:

To solve this problem, we need to set up a proportion since Kyle rides at a steady speed. We know that:

- 6 miles takes 30 minutes.
- We want to find how long it would take to ride 15 miles.

Let's denote the time it takes to ride 15 miles as \( x \) minutes.

We set up the proportion as follows:

\[
\frac{6 \, \text{miles}}{30 \, \text{minutes}} = \frac{15 \, \text{miles}}{x \, \text{minutes}}
\]

Now, we solve for \( x \) by cross-multiplying:

\[
6x = 15 \times 30
\]

\[
6x = 450
\]

\[
x = \frac{450}{6}
\]

\[
x = 75 \, \text{minutes}
\]

### Conclusion:

It would take Kyle **75 minutes** to ride his bike 15 miles at the same steady speed.

Would you like more details or have any other questions?

### Related Questions:
1. If Kyle increased his speed and took 60 minutes to ride 15 miles, what would be his new speed in miles per hour?
2. How many miles could Kyle ride in 2 hours at his current steady speed?
3. If another cyclist rode 10 miles in 40 minutes, who was faster, Kyle or the other cyclist?
4. How long would it take Kyle to ride 20 miles at his current steady speed?
5. What is the average speed of Kyle in miles per hour?

### Tip:
When setting up proportions, make sure the units on both sides of the equation match up (e.g., miles to miles, minutes to minutes).

Kyle rides his bike 6 miles in 30 minutes. Assuming he rides at a steady speed, write a proportion that could be used to determine how long it would take him to ride his bike 15 miles.

Learn how to solve a proportion problem where Kyle rides 6 miles in 30 minutes at a steady speed. Set up the correct proportion to determine how long it will take him to ride 15 miles.

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