Question 1194482: Emilia drove at an average speed of 50mi/h from her home in Los Angeles to visit her sister in New Orleans. She stayed in New Orleans 15hours, and on the trip back averaged 50 mi/h. She returned home 49 hours after leaving. How many miles is Los Angeles from New Orleans?
a) Write an equation using the information as it is given above that can be solved to answer this question. Use t as your variable to represent the amount of time Emilia spent driving from Los Angeles to New Orleans.
b) How many miles is Los Angeles from New Orleans?
Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39617)   (Show Source):
You can put this solution on YOUR website!
You could setup a data table if you feel the need, using RT=D and form a time sum equation.
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SPEED TIME DISTANCE
GOING TO 50 d/50 d
STAYING 15
RETURNING 50 d/50 d
Totals 49
Answer by MathTherapy(10552)  (Show Source):
You can put this solution on YOUR website! Emilia drove at an average speed of 50mi/h from her home in Los Angeles to visit her sister in New Orleans. She stayed in New Orleans 15hours, and on the trip back averaged 50 mi/h. She returned home 49 hours after leaving. How many miles is Los Angeles from New Orleans?
a) Write an equation using the information as it is given above that can be solved to answer this question. Use t as your variable to represent the amount of time Emilia spent driving from Los Angeles to New Orleans.
b) How many miles is Los Angeles from New Orleans?
Let distance each way, be D
Since entire trip took 49 hours, and 15 of those hours were spent not driving, then time spent driving = 49 - 15 = 34 hours
If you want to use t as time as suggested, you can. This will produce a different equation than mine below. But, I won't use
it because I don't need to, as I want to get DIRECTLY to the distance, each way.
a) We then get the following TIME equation: 
You can then continue to solve by SIMPLIFYING the above equation to: 
b) All you need to do now is CROSS-MULTIPLY to get D, the distance each way.
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