To solve this problem, we need to find out how many miles Joe can run in 15 minutes if he keeps the same speed. We know he runs 1 mile every 6 minutes.
Step 1: Set up the proportion
We can set this up as a fraction where "miles" are on top and "minutes" are on the bottom. Since his pace stays the same, the two fractions must be equal.
$$ \frac{1 \text{ mile}}{6 \text{ minutes}} = \frac{x \text{ miles}}{15 \text{ minutes}} $$
Step 2: Cross-multiply
To solve for $x$, we cross-multiply. This means multiplying the top of one side by the bottom of the other side.
$$ 1 \times 15 = 6 \times x $$
This simplifies to:
$$ 15 = 6x $$
Step 3: Solve for x
Now, divide both sides by 6 to get $x$ by itself.
$$ x = \frac{15}{6} $$
Step 4: Calculate the final value
$$ 15 \div 6 = 2.5 $$
So, Joe can run 2.5 miles.
Final Answer:
2.5 miles
Parent Tip: Review the logic above to help your child master the concept of proportion problems.
