document.write( "Question 1049381: Dan left school and drove east on Mass Pike at 55 mph. One hour later, Joe left school and traveled west on the Mass Pike at 50 miles per hour. How long will Dan have traveled when he and Joe are 300 miles apart? \n" ); document.write( "

Algebra.Com's Answer #664923 by josmiceli(19441) $\"\"$ $\"About$

You can put this solution on YOUR website!
What is Dan's head start in miles?
\n" ); document.write( " $\"+d%5B1%5D+=+55%2A1+\"$
\n" ); document.write( " $\"+d%5B1%5D+=+55+\"$ mi
\n" ); document.write( "---------------------
\n" ); document.write( "Start a stopwatch when Joe leaves. Let
\n" ); document.write( " $\"+t+\"$ = time in hrs on stopwatch when
\n" ); document.write( "they are $\"+300+\"$ mi apart
\n" ); document.write( "Let $\"+d+\"$ = distance Joe travels until
\n" ); document.write( "they are $\"+300+\"$ mi apart
\n" ); document.write( "-------------------------------------
\n" ); document.write( "Joe's equation:
\n" ); document.write( "(1) $\"+d+=+50t+\"$
\n" ); document.write( "Dan's equation:
\n" ); document.write( "(2) $\"+300+-+d+-55+=+55t+\"$
\n" ); document.write( "---------------------------
\n" ); document.write( "Substitute (1) into (2)
\n" ); document.write( "(2) $\"+300+-+50t+-+55+=+55t+\"$
\n" ); document.write( "(2) $\"+105t+=+245+\"$
\n" ); document.write( "(2) $\"+t+=+2.333+\"$ hr
\n" ); document.write( "---------------------
\n" ); document.write( "Dan will have traveled for 1 hr ( his head start ) plus
\n" ); document.write( "2 hrs and 20 min for a total of
\n" ); document.write( "3 hrs and 20 min
\n" ); document.write( "-----------------------------
\n" ); document.write( "check:
\n" ); document.write( "Joe travels a distance of:
\n" ); document.write( "(1) $\"+d+=+50%2A2.333+\"$
\n" ); document.write( "(1) $\"+d+=+116.667+\"$
\n" ); document.write( "and, in time $\"+t+=+2.333+\"$ hrs,
\n" ); document.write( "Dan traveled:
\n" ); document.write( "(2) $\"+300+-+d+-55+=+55t+\"$
\n" ); document.write( "(2) $\"+300+-+d+-55+=+55%2A2.333+\"$
\n" ); document.write( "(2) $\"+300+-+d+-+55+=+128.3315+\"$ mi
\n" ); document.write( "----------------------------------
\n" ); document.write( " $\"+116.6667+%2B+128.3315+=+244.9982+\"$
\n" ); document.write( "Now add the headstart of $\"+d%5B1%5D+=+55+\"$ mi
\n" ); document.write( " $\"+244.9982+%2B+55+=+299.9982+\"$
\n" ); document.write( "close enough to $\"+300++\"$ mi
\n" ); document.write( "OK\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

\n" );