Question

Creating One-Variable Equations & Inequalities Quick Check
2 of 52 of 5 Items
Question
Trey is running in a race. He has completed 14
of the race so far. He has already run 1.2 miles. How many more miles must Trey run to complete the race?(1 point)
Responses

3.6 miles
3.6 miles

5.2 miles
5.2 miles

1.6 miles
1.6 miles

0.3 miles

Answer 1

To solve the problem, we first need to determine how long the total race is.

Trey has completed \(\frac{1}{4}\) (or 14 out of 52) of the race and has already run 1.2 miles.

Let \(x\) be the total distance of the race.

From the information given, we know:
\[
\frac{1}{4} \times x = 1.2 \text{ miles}
\]

To find \(x\), we solve for it:
\[
x = 1.2 \text{ miles} \times 4 = 4.8 \text{ miles}
\]

Now, we need to determine how many miles Trey must run to complete the race. Since he has run 1.2 miles so far, we subtract this from the total race distance:
\[
\text{Miles remaining} = 4.8 \text{ miles} - 1.2 \text{ miles} = 3.6 \text{ miles}
\]

Therefore, the answer is:
**3.6 miles**.