Lin runs 2 3/4 miles in 2/5 of an hour. Tyler runs 8 2/3 miles in 4/3 of an hour.How long does it take each of them to run 10 miles at that rate

Answer 1

2 3/4 miles in 2/5 hour = (11/4)(5/2) = 55/8 = 7 mph

it takes 10/7 = 1 hour and 3/7 of an hour to run 10 miles at that rate

= 1 hour and 60/7 minutes = about 1 hr 8 minutes 5 seconds

8 2/3 in 4/3 hr = (26/3)(3/4) = 13/2 = 6.5 mph

to go 10 miles at that rate takes 10/6.5 = 100/65 = 20/13 = 1 hour and 7/13 of an hour

= 1 hour and (7/13)60 minutes = 1 hr 420/13 min = 1 hr 32 4/13 minutes = 1 hr 32 min 240/13 seconds

= 1 hr 32 min 18 6/13 seconds