Respuesta :
Using proportions, it is found that the speed of the runners are of 16 mph and of 20 mph.
What is a proportion?
A proportion is a fraction of a total amount.
After 30 minutes, the runners are 2 miles apart, hence the second runner is 4 miles per hour faster than the second, that is:
[tex]v_2 = v_1 + 4[/tex].
The first runner's speed is 4/5 of the speed of the second runner, hence:
[tex]v_1 = \frac{4}{5}v_2[/tex]
[tex]v_1 = \frac{4}{5}(v_1 + 4)[/tex]
[tex]\frac{1}{5}v_1 = \frac{16}{5}[/tex]
[tex]v_1 = 16[/tex]
[tex]v_2 = 16 + 4 = 20[/tex]
Hence, the speed of the runners are of 16 mph and of 20 mph.
More can be learned about proportions at https://brainly.com/question/24863377
Answer:
Using proportions, it is found that the speed of the runners are of 16 mphand of 20 mph.What is a proportion?A proportion is a fraction of a total amount.After 30 minutes, the runners are 2 miles apart, hence the second runner is 4 miles per hour faster than the second, that is:.The first runner's speed is 4/5 of the speed of the second runner, hence:Hence, the speed of the runners are of 16 mph and of 20 mph.
Step-by-step explanation:
