Lin runs 2 ¾ miles in ⅖ of an hour. Tyler runs 8 ⅔ miles in 4/3 of an hour.
How long does it take Tyler to run 10 miles at this rate?
First find the number of miles Tyler runs per hour by dividing his total distance by the time in hours: 8 2/3 miles / 4/3 hours = (26/3) / (4/3) = 26/3 / 4/3 = 26/4 = 6.5 miles/hour
Then divide the total distance Tyler runs by his speed to find how long he runs: 10 miles / 6.5 miles/hour = 5/2 hours = 2 1/2 hours. Answer: \boxed{2.5}.