document.write( "Question 1024242: On a bike hike, George Rode his bike at a rate of 6 miles per hour. 1 hour later paul began the bike hike. He rode At a rate of 7 miles an hour. In how many hours did Paul catch up George?\r
\n" ); document.write( "\n" ); document.write( "Show the work please \n" ); document.write( "

Algebra.Com's Answer #639675 by josmiceli(19441) $\"\"$ $\"About$

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What was George's head start in miles?
\n" ); document.write( " $\"+d%5B1%5D+=+6%2A1+\"$
\n" ); document.write( " $\"+d%5B1%5D+=+6+\"$ mi
\n" ); document.write( "----------------
\n" ); document.write( "Start a stop watch when Paul leaves.
\n" ); document.write( "Let $\"+t+\"$ = time in hrs on stop watch when
\n" ); document.write( "Paul catches George
\n" ); document.write( "Let $\"+d+\"$ = distance Paul travels until he
\n" ); document.write( "catches George
\n" ); document.write( "----------------
\n" ); document.write( "George's equation:
\n" ); document.write( "(1) $\"+d+-+6+=+6t+\"$
\n" ); document.write( "Paul's equation:
\n" ); document.write( "(2) $\"+d+=+7t+\"$
\n" ); document.write( "-----------------
\n" ); document.write( "Substitute (2) into (1)
\n" ); document.write( "(1) $\"+7t+-+6+=+6t+\"$
\n" ); document.write( "(1) $\"+t+=+6+\"$
\n" ); document.write( "Paul catches George in 6 hrs
\n" ); document.write( "-------------------------
\n" ); document.write( "check answer:
\n" ); document.write( "(2) $\"+d+=+7t+\"$
\n" ); document.write( "(2) $\"+d+=+7%2A6+\"$
\n" ); document.write( "(2) $\"+d+=+42+\"$ mi
\n" ); document.write( "and
\n" ); document.write( "(1) $\"+d+-+6+=+6t+\"$
\n" ); document.write( "(1) $\"+d+-+6+=+6%2A6+\"$
\n" ); document.write( "(1) $\"+d+-+6+=+36+\"$
\n" ); document.write( "(1) $\"+d+=+42+\"$ mi
\n" ); document.write( "OK \n" ); document.write( "

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