document.write( "Question 916078: lightning mcqueen is racing mater in a race. mater is given a 2 hour head stanrt. lightning mcqueen travels 18 mph faster than mater.if lightning mcqueen catches up to mater after 5 hours, how far did each car travel?
\n" ); document.write( "Please answer in Rate x time = distance boxes thanks :) \n" ); document.write( "

Algebra.Com's Answer #555906 by josmiceli(19441) $\"\"$ $\"About$

You can put this solution on YOUR website!
Let $\"+s+\"$ = Mater's speed in mi/hr
\n" ); document.write( " $\"+s+%2B+18+\"$ = lightening McQueen's speed in mi/hr
\n" ); document.write( "-----------------
\n" ); document.write( "Start stopwatch when L.M. leaves
\n" ); document.write( "Let $\"+d+\"$ = distance in miles L.M travels
\n" ); document.write( "until he catches Mater
\n" ); document.write( "-----------------
\n" ); document.write( "Mater's head start is:
\n" ); document.write( " $\"+d%5B1%5D+=+s%2A2+\"$
\n" ); document.write( "------------------
\n" ); document.write( "Equation for Mater:
\n" ); document.write( "(1) $\"+d+-+s%2A2+=+s%2A5+\"$
\n" ); document.write( "Equation for L.M.
\n" ); document.write( "(2) $\"+d+=+%28+s+%2B+18+%29%2A5+\"$
\n" ); document.write( "----------------------
\n" ); document.write( "(2) $\"+d+=+5s+%2B+90+\"$
\n" ); document.write( "Substitute (2) into (1)
\n" ); document.write( "(1) $\"+5s+%2B+90+-+2s+=+5s+\"$
\n" ); document.write( "(1) $\"+2s+=+90+\"$
\n" ); document.write( "(1) $\"+s+=+45+\"$
\n" ); document.write( "and
\n" ); document.write( " $\"+s+%2B+18+=+63+\"$
\n" ); document.write( "------------------
\n" ); document.write( "L.M. traveled:
\n" ); document.write( "(1) $\"+d+-+2s+=+5s+\"$
\n" ); document.write( "(1) $\"+d+=+7s+\"$
\n" ); document.write( "(1) $\"+d+=+7%2A45+\"$
\n" ); document.write( "(1) $\"+d+=+315+\"$
\n" ); document.write( "----------------
\n" ); document.write( "Mater traveled:
\n" ); document.write( " $\"+d%5B1%5D+%2B+225+\"$
\n" ); document.write( " $\"+90+%2B+225+=+315+\"$
\n" ); document.write( "------------------
\n" ); document.write( "L.M. traveled 315 mi
\n" ); document.write( "Mater traveled 315 mi
\n" ); document.write( "--------------------
\n" ); document.write( "check:
\n" ); document.write( "(1) $\"+d+-+s%2A2+=+s%2A5+\"$
\n" ); document.write( "(1) $\"+d+=+7s+\"$
\n" ); document.write( "(1) $\"+315+=+7%2A45+\"$
\n" ); document.write( "(1) $\"+315+=+315+\"$
\n" ); document.write( "and
\n" ); document.write( "(2) $\"+315+=+%28+s+%2B+18+%29%2A5+\"$
\n" ); document.write( "(2) $\"+315+=+%28+45+%2B+18+%29%2A5+\"$
\n" ); document.write( "(2) $\"+315+=+63%2A5+\"$
\n" ); document.write( "(2) $\"+315+=+315+\"$
\n" ); document.write( "OK\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

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