On the trip from detroit to columbus, ohio, mrs. smith drove an average speed of 60 mph. returning, her average speed was 55 mph. if it took her 1/3 of an hour longer on the return trip, how far is it from detroit to columbus?

220 miles

Step-by-step explanation:

Given :

Mrs. Smith drove an average speed of 60 mph.

Returning, her average speed was 55 mph.

It took her 1/3 of an hour longer on the return trip.

To Find : Distance between Detroit and Columbus

Solution :

Let the distance between Detroit and Columbus be x miles

She drove an average speed of 60 mph.

So, time taken by her to cover distance of x miles with speed of 60 mph

Thus , she took   [tex\frac{x}{60}[/tex]  hours while going from Detroit to 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 :

Now we are given that she took 1/3 of hour more while returning .

So,

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Hence ,  Detroit is 220 miles far from Columbus

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