Final answer:
Hank and Aaron will meet after 7 hours as they are traveling towards each other with a combined speed of 125 mph, covering 875 miles.
Step-by-step explanation:
Hank and Aaron are 875 miles apart and are traveling toward each other at speeds of 65 mph and 60 mph, respectively. To find out when they will meet, we need to determine how much time it will take for the combined distance they cover to equal 875 miles.
Relative Speed: Since they are moving towards each other, their relative speed is the sum of their individual speeds. Therefore, the relative speed is 65 mph + 60 mph = 125 mph.
Distance to Cover: They need to cover the distance between them, which is 875 miles.
Time Calculation: Using the formula Time = Distance / Speed, we can calculate the time it will take them to meet: Now, we divide the total distance by the rate of closure: 875 miles ÷ 125 mph = 7 hours.
Therefore, it will take them 7 hours to meet.