Answer:
0.53 miles
Step-by-step explanation:
Given: You walk an average of 3.2 miles per hour on the way to school and at an average of 4 miles per hour on the way home the total walking time is 18 minutes.
To Find: how far away is the school.
Solution:
Average walking speed on the way to school =[tex]3.2\text[/tex] [tex]{mph}[/tex]
Average walking speed on the way to home =[tex]4\text[/tex] [tex]{mph}[/tex]
let total distance from home to school be = [tex]\text{D}[/tex]
Distance from home to school = distance from school to home
time taken from home to school = [tex]\frac{\text{D}}{3.2}[/tex] [tex]\text{hours}[/tex]
time taken from school to home = [tex]\frac{\text{D}}{4}[/tex] [tex]\text{hours}[/tex]
Total time taken = 18 minutes = [tex]\frac{18}{60}\text{hours}[/tex]
[tex]\frac{\text{D}}{3.2}[/tex] [tex]\text{hours}[/tex]+ [tex]\frac{\text{D}}{4}[/tex] [tex]\text{hours}[/tex]= [tex]\frac{18}{60}\text{hours}[/tex]
[tex]\text{D}(\frac{1}{3.2}+\frac{1}{4})=\frac{18}{60}[/tex]
[tex]\text{D}\frac{9}{16}=\frac{18}{60}[/tex]
[tex]\text{D}=\frac{32}{60}[/tex] [tex]\text{miles}[/tex]
[tex]\text{D}=0.53[/tex] [tex]\text{miles}[/tex]
The school is [tex]0.53[/tex] [tex]\text{miles}[/tex] from home
