Respuesta :

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 [tex]\frac{3}{4}[/tex] of the race in 6 hours. We are asked to find the duration of entire race.

As Rachel finished [tex]\frac{3}{4}[/tex] of the race in 6 hours, so [tex]\frac{3}{4}[/tex] of x will be equal to 6.

[tex]\frac{3}{4}x=6[/tex]

[tex]\frac{4}{3}\times\frac{3}{4}x=\frac{4}{3}\times 6[/tex]

[tex]x=\frac{4}{1}\times 2[/tex]

[tex]x=4\times 2[/tex]

[tex]x=8[/tex]

Therefore, the duration of entire race was 8 hours.