Rachel finished 3/4 of the race in 6 hours. How long was the entire race? (What model do I draw as well?)
3/4 of the race in 6 hrs
6 divided by 3 equals 2
so 1/4 is 2 hrs, 2/4 is 4 hrs, 3/4 is 6 hrs which means 4/4 the whole race would be 8 hrs
4 multiplied by 2 would give you 8
so the entire race was (8 hours long)
Answer:
8 hours.
Step-by-step explanation:
Let t hours represent duration of entire race.
We have been given that Rachel finished \(\frac{3}{4}\) of the race in 6 hours. We are asked to find the duration of entire race.
As Rachel finished \(\frac{3}{4}\) of the race in 6 hours, so \(\frac{3}{4}\) of x will be equal to 6.
\(\frac{3}{4}x=6\)
\(\frac{4}{3}\times\frac{3}{4}x=\frac{4}{3}\times 6\)
\(x=\frac{4}{1}\times 2\)
\(x=4\times 2\)
\(x=8\)
Therefore, the duration of entire race was 8 hours.