Answer:
5.09 hours (about 5 hours 5 minutes)
Explanation:
You want to know how many hours until you will meet your friend from Wichita if you drive 55 mph starting at 9 am Mountain time and he starts at 9 am Central time driving 69 mph. The distance between you is 700 miles at the start.
Time zones
Your friend's start time of 9 am Central time is 8 am Mountain time, so he has already driven 69 miles when you start. At that point in time, your separation is 700 -69 - 631 miles.
Closing speed
Once you're both on the road, the separation distance is being reduced at the rate of 55 +69 = 124 mph. At that rate, the separation distance of 631 miles will be covered in ...
time = distance/speed
time = (631 mi)/(125 mi/h) = 5.0887 h
You will drive about 5.09 hours before you meet.
__
Additional comment
You will cover 279.9 miles before you meet. He will drive 6.09 hours and cover 420.1 miles before you meet.
<95141404393>