We want to see how long it will take for Lin and Noah to run 1 mile. We will see that:
- Lin runs 1 mile in (8/55) hours
- Noah runs 1 mile in (2/13) hours.
So we know that:
- Lin runs (2 + 3/4) miles in 2/5 hours.
- Noah runs (8 + 2/3) miles in 4/3 hours.
The time in which they run a single mile is given by the quotient between the time and the distance.
For Lin we have:
[tex]T = \frac{2/5 }{2 + 3/4} h/mi = \frac{2/5}{11/4} h/mi = \frac{2*4}{5*11} h/mi = \frac{8}{55} h/mi[/tex]
So Lin runs a mile in (8/55) hours
For Noah we have:
[tex]T = \frac{4/3}{8 + 2/3} h/mi = \frac{4/3}{26/3} h/mi = \frac{4}{26} mi/h = \frac{2}{13} h/mi[/tex]
Noah runs 1 mile in (2/13) hours.
If you want to learn more, you can read:
https://brainly.com/question/22610586
