Home is 0.6 miles away from the store
How to solve such time related questions?
The key concept for solving such questions is the relationship between speed, distance and time.
The relationship between them is Distance = Speed x Time
Given:-
Total time taken by girl to complete the trip = 15 minutes = [tex]\frac{1}{4}[/tex] hours
Speed while riding going = 6 miles per hour
Speed while coming back = 4 miles per hour
Total time taken by girl =
Time taken while going + Time taken while coming back - (1)
Let x be distance from home to store
[tex]\frac{x}{6}[/tex] = Time taken while going
[tex]\frac{x}{4}[/tex] = Time taken while coming back
Substituting in (1) we get
[tex]\frac{1}{4} = \frac{x}{6} + \frac{x}{4}[/tex]
[tex]\frac{1}{4} = \frac{2x + 3x}{12}[/tex]
[tex]\frac{1}{4} = \frac{5x}{12}[/tex]
[tex]x= \frac{12}{20}[/tex]
x = 0.6 miles
Thus home is 0.6 miles away from the store
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