document.write( "Question 885905: Two cars start from the same place traveling in opposite directions. One car travels 4 miles per hour faster than the other car. Find their speeds if after 6 hours they are 564 miles apart. \n" ); document.write( "

Algebra.Com's Answer #535537 by josmiceli(19441) $\"\"$ $\"About$

You can put this solution on YOUR website!
Think of this as one car standing still and the
\n" ); document.write( "other moving at the sum of their speeds
\n" ); document.write( "Let the speed of the slower car = $\"+s+\"$ mi/hr
\n" ); document.write( "Let the speed of the faster car = $\"+s+%2B+4+\"$ mi/hr
\n" ); document.write( "---------------------------
\n" ); document.write( " $\"+564+=+%28+s+%2B+s+%2B+4+%29%2A6+\"$
\n" ); document.write( " $\"+564+=+12s+%2B+24+\"$
\n" ); document.write( " $\"+12s+=+540+\"$
\n" ); document.write( " $\"+s+=+45+\"$
\n" ); document.write( " $\"+s%2B+4+=+49+\"$
\n" ); document.write( "--------------
\n" ); document.write( "Their speeds are 45 mi/hr and 49 mi/hr
\n" ); document.write( "check:
\n" ); document.write( "slower car:
\n" ); document.write( " $\"+d%5B1%5D+=+45%2A6+\"$
\n" ); document.write( " $\"+d%5B1%5D+=+270+\"$
\n" ); document.write( "faster car:
\n" ); document.write( " $\"+d%5B2%5D+=+49%2A6+\"$
\n" ); document.write( " $\"+d%5B2%5D+=+294+\"$
\n" ); document.write( "------------------
\n" ); document.write( " $\"+d%5B1%5D+%2B+d%5B2%5D+=+270+%2B+294+\"$
\n" ); document.write( " $\"+d%5B1%5D+%2B+d%5B2%5D+=+564+\"$
\n" ); document.write( "OK \n" ); document.write( "

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