Question

Lin ran 2 ¾ miles in ⅖ of an hour. Noah ran 8 ⅔ miles in 4/3 of an hour. How long would it take Lin to run 10 mile at that rate?

Answer 1

We have that Lin ran

`2(3)/(4)=(11)/(4)`

11/4 miles in 2/5 hours. So we have that the rate is

`((11)/(4))/((2)/(5))=(55)/(8)`

55/8 miles per hour

if we want to know the time she would need to run 10 miles we have to divide 10 by the rate

`(10)/((55)/(8))=(80)/(55)=(16)/(11)=1(5)/(11)hours`