document.write( "Question 897558: I need help solving this problem. It is 11:00 am when you leave point A. You stop for a 30 minute lunch break at point B, then you drive the rest of the way to your destination at point C, which is twice the distance you drove from point A to point B. You drive at an average speed of 50 mph for the trip from point A to point B, and you drive an average of 60 mph from point B to point C. If you arrive at point C at 1:43 pm, what is the total distance you drove \n" ); document.write( "
Algebra.Com's Answer #544203 by josmiceli(19441)\"\" \"About 
You can put this solution on YOUR website!
Let \"+t%5B1%5D+\" = the time in hrs to get from A to B
\n" ); document.write( "Let \"+d+\" = the distance from A to B
\n" ); document.write( "Let \"+t%5B2%5D+\" = actual time spent driving from B to C
\n" ); document.write( "-----------------
\n" ); document.write( "Equation for A to B:
\n" ); document.write( "\"+d+=+50t%5B1%5D+\"
\n" ); document.write( "Equation for B to C:
\n" ); document.write( "\"+2d+=+60t%5B2%5D+\"
\n" ); document.write( "-----------------
\n" ); document.write( "also,
\n" ); document.write( "11 AM to 1:43 PM is
\n" ); document.write( "\"+2+\" hrs + \"+43%2F60+\" hrs
\n" ); document.write( "\"+43%2F60+=+.7167+\" hrs, so
\n" ); document.write( "\"+2.7167+\" hrs
\n" ); document.write( "\"+t%5B1%5D+%2B+t%5B2%5D+=+2.7167+-+.5+\"
\n" ); document.write( "\"+t%5B1%5D+%2B+t%5B2%5D+=+2.2167+\" hrs
\n" ); document.write( "\"+t%5B2%5D+=+2.2167+-+t%5B1%5D+\"
\n" ); document.write( "----------------------
\n" ); document.write( "\"+2d+=+60%2A%28+2.2167+-+t%5B1%5D+%29+\"
\n" ); document.write( "\"+2d+=+133+-+60t%5B1%5D+\"
\n" ); document.write( "By substitution:
\n" ); document.write( "\"+2%2A%28+50t%5B1%5D+%29+=+133+-+60t%5B1%5D+\"
\n" ); document.write( "\"+100t%5B1%5D+=+133+-+60t%5B1%5D+\"
\n" ); document.write( "\"+160t%5B1%5D+=+133+%5D%5D%5D%0D%0A%5B%5B%5B+t%5B1%5D+=+.83125+\"
\n" ); document.write( "and
\n" ); document.write( "\"+d+=+50t%5B1%5D+\"
\n" ); document.write( "\"+d+=+50%2A.83125+\"
\n" ); document.write( "\"+d+=+41.5625+\"
\n" ); document.write( "and
\n" ); document.write( "\"+2d+=+83.125+\"
\n" ); document.write( "\"+d+%2B+2d+=+124.6875+\"
\n" ); document.write( "You drove 124.6875 miles
\n" ); document.write( "check:
\n" ); document.write( "\"+t%5B2%5D+=+2.2167+-+t%5B1%5D+\"
\n" ); document.write( "\"+t%5B2%5D+=+2.2167+-+.83125+\"
\n" ); document.write( "\"+t%5B2%5D+=+1.38545+\"
\n" ); document.write( "and
\n" ); document.write( "\"+2d+=+60t%5B2%5D+\"
\n" ); document.write( "\"+83.125+=+60%2A1.38545+\"
\n" ); document.write( "\"+83.125+=+83.127+\"
\n" ); document.write( "close enough\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "
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\n" );