Question

Trey is running in a race. He has completed 1/4 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) 3.6 miles 0.3 miles 5.2 miles 1.6 miles

Answer 1

To find out how many more miles Trey must run to complete the race, we first need to determine the total distance of the race. Since Trey has completed \( \frac{1}{4} \) of the race and has run 1.2 miles, we can set up the following equation:

\[
\frac{1}{4} \text{ of total distance} = 1.2 \text{ miles}
\]

Let \( x \) be the total distance of the race. We can express it as:

\[
\frac{1}{4}x = 1.2
\]

To solve for \( x \), we multiply both sides of the equation by 4:

\[
x = 1.2 \times 4
\]
\[
x = 4.8 \text{ miles}
\]

Now that we know the total distance of the race is 4.8 miles, we can find out how much more Trey needs to run to complete the race. Since he has completed \( \frac{1}{4} \) of the race, he has already covered 1.2 miles. This means the remaining distance is:

\[
\text{Remaining distance} = \text{Total distance} - \text{Distance run}
\]
\[
\text{Remaining distance} = 4.8 \text{ miles} - 1.2 \text{ miles}
\]
\[
\text{Remaining distance} = 3.6 \text{ miles}
\]

Thus, Trey must run **3.6 miles** to complete the race. The correct answer is:

**3.6 miles**.