Given:
Melinda walked to the mall at 4 miles per hour and then rode back home in a bus at 24 miles per hour.
Total traveling time was 14 hours.
To find:
The distance between Melinda's house and mall.
Solution:
Formula used:
[tex]Time=\dfrac{Distance}{Speed}[/tex]
Let x miles be the distance between Melinda's house and mall.
Melinda walked to the mall at 4 miles per hour. So, the time taken by Melinda is [tex]\dfrac{x}{4}[/tex] hours.
Speed of bus is 24 miles per hour. So, the time taken by bus is [tex]\dfrac{x}{24}[/tex] hours.
Total traveling time was 14 hours.
[tex]\dfrac{x}{4}+\dfrac{x}{24}=14[/tex]
[tex]\dfrac{6x+x}{24}=14[/tex]
[tex]7x=14\times 24[/tex]
Divide both sides by 7.
[tex]\dfrac{7x}{7}=\dfrac{14\times 24}{7}[/tex]
[tex]x=2\times 24[/tex]
[tex]x=48[/tex]
Therefore, the mall is 48 miles far from Melinda's house.
