document.write( "Question 789186: Please help me solve this word problem? Alan and Dave leave from the same point driving in opposite directions, Alan driving at 55 miles per hour and Dave at 65 mph. Alan has a one-hour head start. How long will they be able to talk on their car phones if the phones have a 250-mile range.\r
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\n" ); document.write( "Michael Armani
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Algebra.Com's Answer #478760 by josmiceli(19441)\"\" \"About 
You can put this solution on YOUR website!
You need an equation for Alan and an equation for Dave
\n" ); document.write( "You want to know when they are \"+250+\" mi apart
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\n" ); document.write( "First, you want to know how much of a head start Alan has
\n" ); document.write( "Let \"+d%5B1%5D+\" = his head start
\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 Dave leaves
\n" ); document.write( "Let \"+t+\" = time on stopwatch when they are \"+250+\" mi apart
\n" ); document.write( "Let \"+d+\" = distance that Dave has traveled
\n" ); document.write( "when they are \"+250+\" mi apart
\n" ); document.write( "\"+250+-+d+\" = Alan's distance from starting point when
\n" ); document.write( "they are \"+250+\" mi apart
\n" ); document.write( "-----------------------
\n" ); document.write( "Alan's equation:
\n" ); document.write( "(1) \"+250+-+d+-+55+=+55t+\"
\n" ); document.write( "( note that I had to subtract his head start )
\n" ); document.write( "Dave's equation:
\n" ); document.write( "(2) \"+d+=+65t+\"
\n" ); document.write( "---------------
\n" ); document.write( "Substitute (2) into (1)
\n" ); document.write( "(1) \"+250+-+65t+-+55+=+55t+\"
\n" ); document.write( "(1) \"+120t+=+195+\"
\n" ); document.write( "(1) \"+t+=+1.625+\" hrs
\n" ); document.write( "-------------------
\n" ); document.write( "\"+.625%2A60+=+37.5+\"
\n" ); document.write( "They can talk for 1 hr 37 min 30 sec
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\n" ); document.write( "check:
\n" ); document.write( "(2) \"+d+=+65t+\"
\n" ); document.write( "(2) \"+d+=+65%2A1.625+\"
\n" ); document.write( "(2) \"+d+=+105.625+\"
\n" ); document.write( "and
\n" ); document.write( "(1) \"+250+-+d+-+55+=+55t+\"
\n" ); document.write( "(1) \"+250+-+d+-+55+=+55%2A1.625+\"
\n" ); document.write( "(1) \"+195+-+d+=+89.375+\"
\n" ); document.write( "(1) \"+d+=+195+-+89.375+\"
\n" ); document.write( "(1) \"+d+=+105.625+\"
\n" ); document.write( "OK \r
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