# On a trip from Detroit to Columbus, Ohio, Mrs. Smith drove at an average speed of 60 MPH. Returning, her average speed was 55MPH. If it took her ⅓ hour longer on the return trip, how far is it from Detroit to Columbus?

##### 3 Answers

220 miles

#### Explanation:

Let the distance be x Miles

From Detroit to Columbus,Ohio, she took x/60 hrs

And while returning she took x/55 hours.

Now as per question,

See a solution process below:

#### Explanation:

The formula for finding distance traveled is:

Where:

#60"mph"# on the way there#55"mph"# on the way back

We can write an equation for the trip out as:

We can write an equation for the trip back as:

Because the distance both ways was the same we can now equate the right side of each equation and solve for

Now, substitute

242 miles

#### Explanation:

Distance is speed x time

The journey out is the same distance as the journey back

Set the distance as

Set the time out as

So journey out we have

So journey back we have

Equating

Subtract

Divide both sides by 5

Using