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

$Ainsley \: walked \: in \: \frac{1}{3} \: \: of \: a \: day \ \: = \frac{3}{5} mile$

$= \frac{1}{3} \times 24 = \frac{3}{5}$

$8 \: hours = \frac{3}{5} \: miles$

$Sarah \: walked \: in \: \frac{2}{6} of \: a \: day \: = \frac{5}{8} miles$

$\frac{2}{6} \times 24 = \frac{5}{8}$

$8 \: hours \: = \frac{5}{8} \: miles$

Let us see who walked more :

$Ainsley \: walked \: = \frac{3 \times 8}{40}$

$= \frac{24}{40} \: miles$

$Sarah \: walked \: = \frac{5 \times 5}{40}$

$= \frac{25}{40} \: miles$

$\frac{24}{40} < \frac{25}{40}$

Sarah walked farther than Ainsley .

$\frac{25}{40} - \frac{24}{40} = \frac{1}{40} \: miles$

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