Respuesta :
Answer: 1. Han run 2.5 miles after a half hour.
2. No, they will not meet within 1 hour.
Step-by-step explanation:
Here, Han runs at a pace of 12 minutes per mile.
Or, we can say that he can run with the speed of 5 miles per hour. (because, speed = 1/pace and 12 minutes = 1 miles ⇒ 60 minutes = 5 miles)
Similarly, If Tyler runs at a pace of 15 minutes per mile ⇒ Tyler run with the speed of  4 miles per hour.
Therefore,
1) The distance covered by Han in half an hour = 1/2 × 5 = 2.5 miles
(because distance = speed × time)
Now, 2) the time at which Han and tyler will meet,
T= Total distance/ ( the sum of their speed)
[tex]T= \frac{10}{5+4} = \frac{10}{9}[/tex]
⇒  [tex]T = 1\frac{1}{9}[/tex] hours > 1 hour
That is, they will not meet within 1 hour.
Answer:
How far does Han run after a half hour? 2.5 miles
After an hour? 5 miles
Do Han and Tyler meet on the path within 1 hour? No
Step-by-step explanation:
Given Han runs at a pace of 12 minutes per mile, then in 30 minutes he run:
[tex]30 minutes \times \frac{1 mile}{12 minutes} = 2.5 miles [/tex]
and in an hour he run:
[tex]60 minutes \times \frac{1 mile}{12 minutes} = 5 miles [/tex]
Given Tyler runs at a pace of 15 minutes per mile, then in 60 minutes he run:
[tex]60 minutes \times \frac{1 mile}{15 minutes} = 4 miles [/tex]
Therefore, after one hour Han and Tyler run a combined distance of 5 + 4 = 9 miles which is less than the 10 miles of distance between them at the beginning, that means they will be at 1 mile of distance of each other.
