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?
<pre>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.

<font color = blue><font size  = 4><b>a)</font></font></b> We then get the following TIME equation: {{{highlight_green(matrix(1,3, D/50 + D/50, "=", 34))}}}
   You can then continue to solve by SIMPLIFYING the above equation to: {{{matrix(2,3, 2D/50, "=", 34, D/25, "=", 34 )}}}
<font color = blue><font size  = 4><b>b)</font></font></b> All you need to do now is CROSS-MULTIPLY to get D, the distance each way.</pre>