Question

Ainsley walks 3/5 mile in 1/3 of a day. Sarah walks 5/8 mile in 2/6 of a day. Who walked farther, Ainsley or Sarah? Find the unit rate for each girl and then tell who you think walked farther with the correct unit rate given below. *

Answer 1

`Ainsley \: walked \: in \: (1)/(3) \: \: of \: a \: day \ \: = (3)/(5) mile`

`= (1)/(3) * 24 = (3)/(5)`

`8 \: hours = (3)/(5) \: miles`

`Sarah \: walked \: in \: (2)/(6) of \: a \: day \: = (5)/(8) miles`

`(2)/(6) * 24 = (5)/(8)`

`8 \: hours \: = (5)/(8) \: miles`

Let us see who walked more :

`Ainsley \: walked \: = (3 * 8)/(40)`

`= (24)/(40) \: miles`

`Sarah \: walked \: = (5 * 5)/(40)`

`= (25)/(40) \: miles`

`(24)/(40) < (25)/(40)`

Sarah walked farther than Ainsley .

`(25)/(40) - (24)/(40) = (1)/(40) \: miles`

∴ Sarah walked farther than Ainsley by 1/40 miles .