document.write( "Question 1089679: Twelve hours after a convict escapes from prison, a guard begins to pursue him. If the convict travels at 10 mph on foot, and the guard travels at 70 mph by car, how far from the prison will the convict be caught by the guard? \n" ); document.write( "
Algebra.Com's Answer #704011 by josmiceli(19441)\"\" \"About 
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Find convict's headstart in miles
\n" ); document.write( "\"+d%5B1%5D+=+10%2A12+\"
\n" ); document.write( "\"+d%5B1%5D+=+120+\" mi
\n" ); document.write( "----------------------
\n" ); document.write( "Let \"+d+\" = distance the guard travels until
\n" ); document.write( "the guard catches convict
\n" ); document.write( "Let \"+t+\" = time in hrs until the guard catches
\n" ); document.write( "up with the convict
\n" ); document.write( "-------------------------------------------
\n" ); document.write( "Equation for the convict:
\n" ); document.write( "(1) \"+d+-+d%5B1%5D+=+10t+\"
\n" ); document.write( "Equation for the guard:
\n" ); document.write( "(2) \"+d+=+70t+\"
\n" ); document.write( "-----------------------
\n" ); document.write( "(1) \"+d+=+10t+%2B+120+\"
\n" ); document.write( "Plug (2) into (1)
\n" ); document.write( "(1) \"+70t+=+10t+%2B+120+\"
\n" ); document.write( "(1) \"+60t+=+120+\"
\n" ); document.write( "(1) \"+t+=+2+\"
\n" ); document.write( "and
\n" ); document.write( "(2) \"+d+=+70%2A2+\"
\n" ); document.write( "(2) \"+d+=+140+\"
\n" ); document.write( "The convict is caught 140 mi from the prison
\n" ); document.write( "----------------
\n" ); document.write( "check:
\n" ); document.write( "(1) \"+d+-+d%5B1%5D+=+10t+\"
\n" ); document.write( "(1) \"+d+-+d%5B1%5D+=+10%2A2+\"
\n" ); document.write( "(1) \"+d+-+120+=+20+\"
\n" ); document.write( "(1) \"+d+=+140+\"
\n" ); document.write( "OK
\n" ); document.write( "
\n" );