Question

Rachel finished 3/4 of the race in 6 hours. How long was the entire race? (What model do I draw as well?)

Answer 1

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 2

8 hours.

Explanation:

Let t hours represent duration of entire race.

We have been given that Rachel finished
`(3)/(4)` of the race in 6 hours. We are asked to find the duration of entire race.

As Rachel finished
`(3)/(4)` of the race in 6 hours, so
`(3)/(4)` of x will be equal to 6.

`(3)/(4)x=6`

`(4)/(3)*(3)/(4)x=(4)/(3)* 6`

`x=(4)/(1)* 2`

`x=4* 2`

`x=8`

Therefore, the duration of entire race was 8 hours.