According to the problem, Jake finished 3/4 of the race in 4 hours. This means that he has yet to complete 1/4 of the race.
We can set up a proportion to solve for the length of the entire race:
3/4 of the race = x * 3/4
1/4 of the race = x * 1/4
Since Jake finished 3/4 of the race in 4 hours, we can use this information to find his speed or rate:
Speed = Distance ÷ Time
Speed for 3/4 of the race = (3/4)x ÷ 4 hours = 3x ÷ 16
Now, we can use the speed to find the length of the entire race:
Speed = Distance ÷ Time
3x ÷ 16 = x ÷ Time
Cross-multiplying, we get:
3x × Time = 16x
Simplifying, we get:
Time = 16/3 hours
Therefore, the entire race is:
x = (3/4) * (16/3) = 4 miles (or 4 kilometers, laps, etc.)
So, the entire race is 4 units long, and Jake finished 3/4 of it in 4 hours.