SOLUTION: You and your friend are each driving 379 miles from LA to San Fran. Your friend leaves first, driving 52 mph. She is 32 miles from LA when you leave, driving 60 mph. How far do ea

Question 109406This question is from textbook algebra 1
: You and your friend are each driving 379 miles from LA to San Fran. Your friend leaves first, driving 52 mph. She is 32 miles from LA when you leave, driving 60 mph. How far do each of you drive before you are side by side? This question is from textbook algebra 1

Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
You and your friend are each driving 379 miles from LA to San Fran.
Your friend leaves first, driving 52 mph.
She is 32 miles from LA when you leave, driving 60 mph.
How far do each of you drive before you are side by side?
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Let "x" be the distance "You" drive to catch up to "your friend".
----------------
Your DATA:
distance = x miles ; rate 60 mph ; time = d/r = x/60
----------
Friend DATA:
distance = x-32 miles; rate = 52 mph; time = d/r = (x-32)/52
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EQUATION:
time = time
x/60 = (x-32)/52
52x = 60x-60*52
-8x = -60*52
x = 15*26
x = 390 miles (distance from LA where you are side=by-side
----------------
Cheers,
Stan H.

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