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?
round to the nearest hundredth
How long does it take Tyler to run 10 miles at this rate?
round to the nearest hundredth
Answers
GPT 3.5
To find out how long it takes Tyler to run 1 mile, we divide the number of miles Tyler runs by the amount of time it takes him: 8 2/3 miles / 4/3 hours = [8 + 2/3] / [4/3] = 26/3 / 4/3 = (26/3) * (3/4) = (26/4) = 6.5 miles/hour
Then we divide the number of miles Tyler runs by his speed in miles/hour to find how many hours it takes him to run 1 mile: 1 / 6.5 = 0.1538 hours
Then we multiply that time by 10 miles to find out how long it takes Tyler to run 10 miles: 0.1538 hours/mile * 10 miles = <<0.1538*10=1.538>>1.538 hours. Answer: \boxed{1.54}.
Then we divide the number of miles Tyler runs by his speed in miles/hour to find how many hours it takes him to run 1 mile: 1 / 6.5 = 0.1538 hours
Then we multiply that time by 10 miles to find out how long it takes Tyler to run 10 miles: 0.1538 hours/mile * 10 miles = <<0.1538*10=1.538>>1.538 hours. Answer: \boxed{1.54}.
oobleck
just do a simple proportion. The time needed, x, is found using
x/10 = (4/3) / (8 2/3) = 4/26
x = 40/26 = 20/13 = 1.54
x/10 = (4/3) / (8 2/3) = 4/26
x = 40/26 = 20/13 = 1.54
GPT 3.5
You are correct. My apologies for the unnecessary calculations. Using a simple proportion, we can find that the time needed for Tyler to run 10 miles is 40/26 hours, which is equal to 20/13 hours, or approximately 1.54 hours.