document.write( "Question 269593: Granville and Preston are 550 miles apart. A car leaves Preston bound for Granville; at the same time, another car leaves Granville bound for Preston, traveling 10 mph faster than the other car. If they meet after 5 hours, find the speed of each car. \n" ); document.write( "
Algebra.Com's Answer #197561 by josmiceli(19441)\"\" \"About 
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Write equations for each:
\n" ); document.write( "\"d%5B1%5D+=+r%5B1%5D%2At%5B1%5D\"
\n" ); document.write( "\"d%5B2%5D+=+r%5B2%5D%2At%5B2%5D\"
\n" ); document.write( "given:
\n" ); document.write( "\"t%5B1%5D+=+5\" hrs
\n" ); document.write( "\"t%5B2%5D+=+5\" hrs
\n" ); document.write( "\"r%5B2%5D+=+r%5B1%5D+%2B+10\" mi/hr
\n" ); document.write( "\"d%5B1%5D+%2B+d%5B2%5D+=+550\" mi
\n" ); document.write( "-----------------------
\n" ); document.write( "(1) \"d%5B1%5D+=+r%5B1%5D%2At%5B1%5D\"
\n" ); document.write( "(1) \"d%5B1%5D+=+r%5B1%5D%2A5\"
\n" ); document.write( "(1) \"5r%5B1%5D+-+d%5B1%5D+=+0\"
\n" ); document.write( "-----------------------
\n" ); document.write( "(2) \"d%5B2%5D+=+r%5B2%5D%2At%5B2%5D\"
\n" ); document.write( "(2) \"550+-+d%5B1%5D+=+%28r%5B1%5D+%2B+10%29%2A5\"
\n" ); document.write( "(2) \"550+-+d%5B1%5D+=+5r%5B1%5D+%2B+50\"
\n" ); document.write( "(2) \"5r%5B1%5D+%2B+d%5B1%5D+=+500\"
\n" ); document.write( "------------------------
\n" ); document.write( "Add (1) and (2)
\n" ); document.write( "(1) \"5r%5B1%5D+-+d%5B1%5D+=+0\"
\n" ); document.write( "(2) \"5r%5B1%5D+%2B+d%5B1%5D+=+500\"
\n" ); document.write( "\"10r%5B1%5D+=+500\"
\n" ); document.write( "\"r%5B1%5D+=+50\" mi/hr
\n" ); document.write( "And, since
\n" ); document.write( "\"r%5B2%5D+=+r%5B1%5D+%2B+10\"
\n" ); document.write( "\"r%5B2%5D+=+50+%2B+10\"
\n" ); document.write( "\"r%5B2%5D+=+60\" mi/hr
\n" ); document.write( "The 1st car goes 50 mi/hr, the 2nd car goes 60 mi/hr
\n" ); document.write( "check:
\n" ); document.write( "(2) \"550+-+d%5B1%5D+=+%28r%5B1%5D+%2B+10%29%2A5\"
\n" ); document.write( "(2) \"550+-+d%5B1%5D+=+%2850+%2B+10%29%2A5\"
\n" ); document.write( "(2) \"550+-+d%5B1%5D+=+300\"
\n" ); document.write( "(2) \"d%5B1%5D+=+250\" mi
\n" ); document.write( "and
\n" ); document.write( "(2) \"d%5B2%5D+=+r%5B2%5D%2A5\"
\n" ); document.write( "(2) \"d%5B2%5D+=+60%2A5\"
\n" ); document.write( "(2) \"d%5B2%5D+=+300\"
\n" ); document.write( "and
\n" ); document.write( "\"d%5B1%5D+%2B+d%5B2%5D+=+550\"
\n" ); document.write( "OK
\n" ); document.write( "
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