you finished 3/4 of the race in 6 hours. How long was the entire race?
We are asked to find the duration of entire race. As Rachel finished of the race in 6 hours, so of x will be equal to 6. Therefore, the duration of entire race was 8 hours.
or, as a proportion,
6/x = 3/4
To find the total duration of the entire race, we can use a proportion since we know the ratio of the completed part of the race to the total race.
Let's assume the total duration of the race is x hours.
According to the information given, you finished 3/4 of the race in 6 hours. So, we can set up the proportion:
(3/4) / x = 6 / 1
To solve for x, we can cross-multiply:
3/4 * 1 = 6 * x
3/4 = 6x
Next, we will isolate x by dividing both sides of the equation by 6:
(3/4) / 6 = x
3/24 = x
1/8 = x
Therefore, the entire race is 1/8 of an hour or 7.5 minutes long.
To find the length of the entire race, we can set up a proportion.
Since you finished 3/4 of the race in 6 hours, we can say that if x represents the length of the entire race, then 3/4 of x is equal to 6 hours.
We can write this proportion as:
(3/4)x = 6
To find x, we can isolate it by multiplying both sides of the equation by the reciprocal of 3/4, which is 4/3:
(4/3)(3/4)x = (4/3)(6)
This simplifies to:
x = 8
Therefore, the length of the entire race is 8 hours.