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# Melissa drove at an average speed of 45 mi/h from her home in Memphis to visit her sister in Atlanta.

Melissa drove at an average speed of 45 mi/h from her home in Memphis to visit her sister in Atlanta. She stayed in Atlanta 10 hours, and on the trip back averaged 60 mi/h. She returned home 43 hours after leaving. How many miles is Memphis from Atlanta?

a) Write an equation using the information as it is given above that can be solved to answer this question. Use t as your varible to represent the amount of time Melissa spent driving from Memphis to Atlanta.
Equation:

b) How many miles is Memphis from Atlanta?

### 1 Answer by Expert Tutors

James Z. | Chemistry/Math/Biology TutorChemistry/Math/Biology Tutor
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First, this is a Distance = rate * time equation problem

First you have 45mph at an x amount of hours and 60 mph at a y amount of hours.

The total trip including her stay was 43 hours.

From that we can conclude x + y + 10 = 43

We also can conclude that D = 45(x) and D = 60(33-x) because travel time only was 33 hrs

From that D = D so 45x = 1980 - 60x

Simplify 105x = 1980

Simply x = 18.9[...] hours thus the distance would be