document.write( "Question 696528: Two people leave a town traveling in oposite directions. One person leaves at 11:00am driving at 48mph while the second person leaves at 3:00pm and drives at 55mph, At what time will they be 604 miles part? \n" ); document.write( "
Algebra.Com's Answer #429126 by josmiceli(19441)\"\" \"About 
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How much of a head start does the 1st person have?
\n" ); document.write( "3:00 PM minus 11:00 AM is \"+4+\" hrs
\n" ); document.write( "\"+48%2A4+=+192+\" miles
\n" ); document.write( "Start a stop watch when the 2nd person leaves at 3 PM
\n" ); document.write( "Let \"+t+\" = time on the stop watch
\n" ); document.write( "when they are \"+604+\" mi apart
\n" ); document.write( "Let \"+d+\" = The distance that the 2nd person has to
\n" ); document.write( "travel until they are \"+604+\" mi apart
\n" ); document.write( "( they are already \"+192+\" mi apart )
\n" ); document.write( "---------------------------------
\n" ); document.write( "1st person's equation:
\n" ); document.write( "(1) \"+604+-+192+-+d+=+48t+\"
\n" ); document.write( "2nd person's equation:
\n" ); document.write( "(2) \"+d+=55t+\"
\n" ); document.write( "--------------------
\n" ); document.write( "(1) \"+412+-+d+=+48t+\"
\n" ); document.write( "Substitute (2) into (1)
\n" ); document.write( "(1) \"+412+-+55t+=+48t+\"
\n" ); document.write( "(1) \"+103t+=+412+\"
\n" ); document.write( "(1) \"+t+=+4+\"
\n" ); document.write( "This is the time on the stop watch which started at 3 PM
\n" ); document.write( "They will be 604 miles apart at 7 PM
\n" ); document.write( "----------------
\n" ); document.write( "check answer:
\n" ); document.write( "(1) \"+604+-+192+-+d+=+48%2A4+\"
\n" ); document.write( "(1) \"+604+-+192+-+d+=+192+\"
\n" ); document.write( "(1) \"+d+=+604+-+384+\"
\n" ); document.write( "(1) \"+d+=+220+\"
\n" ); document.write( "and
\n" ); document.write( "(2) \"+d+=55t+\"
\n" ); document.write( "(2) \"+d+=+55%2A4+\"
\n" ); document.write( "(2) \"+d+=+220+\"
\n" ); document.write( "OK
\n" ); document.write( "--------------
\n" ); document.write( "The 2nd person travels 220 mi after 1st person
\n" ); document.write( "travels 192 mi and an additional \"+48%2A4+=+192+\" mi
\n" ); document.write( "\"+220+%2B+192+%2B+192+=+604+\"
\n" ); document.write( "OK\r
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