the distance between his house and school is 3/4 .
if he is 1/3 from school, then the total distance he has to walk is 3 times more than what he has walked
The distance between Han's school and home is [tex]\bold{\dfrac{3}{4}\ miles}[/tex].
Given to us,
Distance Han traveled = [tex]\bold{\dfrac{1}{4}}[/tex] miles,
Distance traveled by Han for school = [tex]\bold{\dfrac{1}{3}}[/tex]
Let the distance between Han's school and home be x.
So, distance traveled by Han for school = [tex]\bold{\dfrac{x}{3}}[/tex]
As given,
Distance traveled by Han for school = Distance Han traveled
[tex]\bold{\dfrac{x}{3}=\dfrac{1}{4}\ miles}[/tex]
[tex]\bold{{x}=\dfrac{1}{4}\times 3}[/tex]
[tex]\bold{{x}=\dfrac{3}{4}\ miles}[/tex]
Hence, the distance between Han's school and home is [tex]\bold{\dfrac{3}{4}\ miles}[/tex].
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