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.
Trey has completed \( \frac{1}{4} \) of the race, and he has run 1.2 miles. We can set up the equation:
\[ \frac{1}{4} \text{ of Total Distance} = 1.2 \text{ miles} \]
Let \( x \) represent the total distance of the race:
\[ \frac{1}{4}x = 1.2 \]
To find \( x \), multiply both sides of the equation by 4:
\[ x = 1.2 \times 4 = 4.8 \text{ miles} \]
Now that we know the total distance of the race is 4.8 miles, we can find how much more Trey needs to run to complete the race. He has run 1.2 miles, so we subtract this from the total distance:
\[ \text{Remaining Distance} = \text{Total Distance} - \text{Distance Run} = 4.8 - 1.2 = 3.6 \text{ miles} \]
Thus, Trey must run 3.6 miles more to complete the race.
The answer is: 3.6 miles.
1 answer