Distance from Detroit to columbus is 220 miles
It is given in the question,
The average speed Mrs. smith drove = 60 mph.
Returning, her average speed was 55 mph.
Time taken = 1/3 of an hour longer on the return trip
We have to Find total distance between Detroit and Columbus
So, Let the distance between Detroit and Columbus be "x" miles
Average speed = 60
So, time taken by her to cover distance of x miles with speed of 60 mph
Time = Distance / speed
=> t = x / 60
She Took x/60 hours to reach Columbus
While returning her speed was 55 mph.
So, time taken by her to cover the same distance but at a speed of 55 mph :
=> t = x / 55
Now we are given that she took 1/3 of hour more while returning .
So, [tex]\frac{x}{55} - \frac{x}{60} = \frac{1}{3}[/tex]
⇒ x/660 = 1/3
=> x = 660/3
=> x = 220 miles
Hence , Detroit is 220 miles far from Columbus
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