The average speed of the car is 28 mph
Explanation:
The average speed of an object is equal to the ratio between the total distance covered by the object (regardless of its direction) and the time taken. Therefore:
[tex]speed = \frac{d}{t}[/tex]
where
d is the total distance
t is the time taken
The car in this problem travels 5 miles north and 2 miles south, so the total distance covered is
d = 5 + 2 = 7 miles
While the time taken is
t = 1/4 h = 0.25 h
Therefore, the average speed is
[tex]speed = \frac{7}{0.25}=28 mph[/tex]
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