Final answer:
By calculating the unit rate of John's running speed, we can determine that John can run approximately 18.67 miles in 160 minutes.
Step-by-step explanation:
To find out how many miles John can run in 160 minutes, we use the concept of unit rate. If John runs 14 miles in 120 minutes, then his running speed or rate is:
Speed = Distance / Time
Speed = 14 miles / 120 minutes = 0.1167 miles per minute
Now, to find out how many miles he can run in 160 minutes at this speed, we multiply his speed by the time:
Miles in 160 minutes = Speed × Time
Miles in 160 minutes = 0.1167 miles/minute × 160 minutes
Miles in 160 minutes = 18.67 miles
Therefore, John can run approximately 18.67 miles in 160 minutes.