document.write( "Question 758308: Carl chases Lemony in a game of tag. Lemony leaves the safe zone traveling at 15 feet per second in a straight line. Carl leaves the safe zone to follow him 3 seconds later, traveling at 20 feet per second. How long in seconds after he leaves the safe zone is Carl able to tag Lemony? \n" ); document.write( "
Algebra.Com's Answer #461404 by josmiceli(19441)\"\" \"About 
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How much of a head start does Lemony get
\n" ); document.write( "in \"+3+\" sec ?
\n" ); document.write( "\"+d%5B1%5D+=+15%2A3+\"
\n" ); document.write( "\"+d%5B1%5D+=+45+\" ft
\n" ); document.write( "---------------
\n" ); document.write( "Start a stopwatch when Carl leaves
\n" ); document.write( "Let \"+t+\" = time in seconds on stopwatch when
\n" ); document.write( "Carl tags Lemony
\n" ); document.write( "Let \"+d+\" = distance in ft that Carl goes until
\n" ); document.write( "he catches Lemony
\n" ); document.write( "-----------------
\n" ); document.write( "Equation for lemony:
\n" ); document.write( "(1) \"+d+-+45+=+15t+\"
\n" ); document.write( "Equation for Carl:
\n" ); document.write( "(2) \"+d+=+20t+\"
\n" ); document.write( "-----------------
\n" ); document.write( "By substitution:
\n" ); document.write( "(1) \"+20t+-+45+=+15t+\"
\n" ); document.write( "(1) \"+5t+=+45+\"
\n" ); document.write( "(1) \"+t+=+9+\"
\n" ); document.write( "Carl tags Lemony 9 sec after he leaves safe zone
\n" ); document.write( "------------
\n" ); document.write( "check:
\n" ); document.write( "(2) \"+d+=+20t+\"
\n" ); document.write( "(2) \"+d+=+20%2A9+\"
\n" ); document.write( "(2) \"+d+=+180+\" ft
\n" ); document.write( "and
\n" ); document.write( "(1) \"+d+-+45+=+15t+\"
\n" ); document.write( "(1) \"+d+-+45+=+15%2A9+\"
\n" ); document.write( "(1) \"+d+=+45+%2B+135+\"
\n" ); document.write( "(1) \"+d+=+180+\" ft
\n" ); document.write( "OK\r
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "
\n" );