document.write( "Question 551951: goofy left his home by car, traveling at a rate of 30 mph. two hours later his brother pluto left his home traveling on the same road at a rate of 45 mph. in how many hours did pluto overtake goofy? \n" ); document.write( "

Algebra.Com's Answer #360009 by josmiceli(19441) $\"\"$ $\"About$

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Goofy had a head start of
\n" ); document.write( " $\"+d%5B1%5D+=+30%2A2+\"$
\n" ); document.write( " $\"+d%5B1%5D+=+60+\"$ mi
\n" ); document.write( "Start a stopwatch when Pluto leaves
\n" ); document.write( "Let $\"+d+\"$ = distance that Pluto travels until they meet
\n" ); document.write( "Let $\"+t+\"$ = time on stopwatch when Pluto
\n" ); document.write( "overtakes Goofy
\n" ); document.write( "Goofy's equation:
\n" ); document.write( "(1) $\"+d+-+60+=+30t+\"$
\n" ); document.write( "Pluto's equation:
\n" ); document.write( "(2) $\"+d+=+45t+\"$
\n" ); document.write( "---------------
\n" ); document.write( "Substitute (2) into (1)
\n" ); document.write( "(1) $\"+45t+-+60+=+30t+\"$
\n" ); document.write( "(1) $\"+15t+=+60+\"$
\n" ); document.write( "(1) $\"+t+=+4+\"$ hrs
\n" ); document.write( "Pluto overtook goofy in 4 hrs
\n" ); document.write( "check:
\n" ); document.write( "(2) $\"+d+=+45t+\"$
\n" ); document.write( "(2) $\"+d+=+45%2A4+\"$
\n" ); document.write( "(2) $\"+d+=+180+\"$ mi
\n" ); document.write( "and
\n" ); document.write( "(1) $\"+d+-+60+=+30t+\"$
\n" ); document.write( "(1) $\"+d+-+60+=+30%2A4+\"$
\n" ); document.write( "(1) $\"+d+=+120+%2B+60+\"$
\n" ); document.write( "(1) $\"+d+=+180+\"$ mi
\n" ); document.write( "OK \n" ); document.write( "

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