Question 181967This question is from textbook
: I really cannot wrap my brain around word problems!!!! I really appreciate any help I can get so here is my question thank you!
One car left Valdosta averaging 55 mph. and another car left Atlanta averaging 70 mph. They traveled toward each other on interstate 75 Atlanta is north of Valdosta by 300 miles. When did they meet if they both left at noon? How far south of atlanta did they meet??
I need this put into a linear equation and just cant seem to be able to do it!
This question is from textbook
Found 2 solutions by ankor@dixie-net.com, MathTherapy:
Answer by ankor@dixie-net.com(22740)   (Show Source):
You can put this solution on YOUR website! One car left Valdosta averaging 55 mph. and another car left Atlanta averaging 70 mph. They traveled toward each other on interstate 75 Atlanta is north of Valdosta by 300 miles. When did they meet if they both left at noon? How far south of atlanta did they meet??
:
let t = travel time of both cars, also be the time they meet if they left at noon
;
when they meet the two will have traveled a total of 300 mi, write a dist equation
dist = speed * time
:
55t + 75t = 300
:
That's the time, it's easy to find the distance from Atlanta once you get that
Answer by MathTherapy(10552)  (Show Source):
You can put this solution on YOUR website! Let the distance traveled by the car leaving from Atlanta be x
Then the distance traveled by the car leaving from Valdosta is 300 - x
Since the cars left at the same time, their time to the “meeting spot” will be the same
Therefore, time taken by the car leaving from Atlanta to the “meeting spot” equals the time taken by the car leaving from Valdosta to the “meeting spot”
This means that 
Cross-multiplying, we get: 55x = 21,000 – 70x
125x = 21000
x = 168
Therefore, the distance traveled by the car leaving from Atlanta to Valdosta is 168 miles.
Therefore, the time it takes each car to meet =  or  These both equal 2.4 hours, or 2 hours, 24 minutes.
This means that since they both left at 12:00noon, they will meet 2 hours, 24 minutes later, or 2:24pm.
Since south of Atlanta indicates the car that left from Atlanta (north) to Valdosta (south), then they would meet 168 miles south of Atlanta.
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