document.write( "Question 778228: Two cars leave a gas station at the same time, one traveling north and the other south. The northbound car travels at 50 mph. After 3 hours the cars are 345 miles apart. How fast is the southbound car traveling? \n" ); document.write( "

Algebra.Com's Answer #474488 by josmiceli(19441) $\"\"$ $\"About$

You can put this solution on YOUR website!
The cars are separating at the sum of their speeds
\n" ); document.write( "Let $\"+r+\"$ = the rate of the southbound car
\n" ); document.write( "I can say:
\n" ); document.write( " $\"+345+=+%28+50+%2B+r+%29%2A3+\"$
\n" ); document.write( " $\"+345+=+150+%2B+3r+\"$
\n" ); document.write( " $\"+3r+=+195+\"$
\n" ); document.write( " $\"+r+=+65+\"$
\n" ); document.write( "The southbound car is traveling at 65 mi/hr
\n" ); document.write( "check:
\n" ); document.write( "Northbound car:
\n" ); document.write( " $\"+d%5B1%5D+=+50%2A3+\"$
\n" ); document.write( " $\"+d%5B1%5D+=+150+\"$
\n" ); document.write( "Southbound car:
\n" ); document.write( " $\"+d%5B2%5D+=+65%2A3+\"$
\n" ); document.write( " $\"+d%5B2%5D+=+195+\"$
\n" ); document.write( "and
\n" ); document.write( " $\"+150+%2B+195+=+345+\"$
\n" ); document.write( "OK \n" ); document.write( "

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