Question

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?

Answer 1

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}.