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?
A) 1.6 miles
B) 5.2 miles
C) 0.3 miles
D) 3.6 miles

Answer 1

If Trey has completed \( \frac{1}{4} \) of the race and that distance is 1.2 miles, we can determine the total distance of the race by setting up the following equation:

Let \( D \) be the total distance of the race. We know that:

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

To find \( D \), we can multiply both sides of the equation by 4:

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

Now, to find out how much more Trey must run to complete the race, we calculate the remaining distance:

\[
\text{Remaining distance} = D - \text{distance already run} = 4.8 - 1.2
\]

Calculating that gives us:

\[
4.8 - 1.2 = 3.6 \text{ miles}
\]

Thus, the number of more miles Trey must run to complete the race is:

\[
\boxed{3.6} \text{ miles}
\]

So the answer is D) 3.6 miles.