document.write( "Question 458514: I need to create a word problem and I am having a hard time setting up the problem once I create it. This is the word problem I have created.\r
\n" ); document.write( "\n" ); document.write( "I took my son Go-Kart racing. One lap around the track is 804m. The worker releases my son on the track first and then releases me on the track 5 seconds later. My sons Go-Kart travels 6 mph and my Go-Kart travels 7mph. How long would it take me to pass my son on the track?\r
\n" ); document.write( "\n" ); document.write( "I am thinking this is how I would set this up.\r
\n" ); document.write( "\n" ); document.write( "x = my Go-Kart
\n" ); document.write( "y = my sons Go-Kart
\n" ); document.write( "t = the time it would take me to pass my son on the track\r
\n" ); document.write( "\n" ); document.write( "Actually, I am pretty much lost and not even sure if I have an accurate word problem or I need to tweek the word problem in order to get an answer.
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Algebra.Com's Answer #314548 by josmiceli(19441)\"\" \"About 
You can put this solution on YOUR website!
Is the 804 meters or miles? I assume it's miles.
\n" ); document.write( "If not, just do a conversion.
\n" ); document.write( "The key is: how much of a head start does your son have?
\n" ); document.write( "\"+5+\" sec = \"+5%2F3600+\" hrs
\n" ); document.write( "In 5 seconds at 6 mi/hr, he goes
\n" ); document.write( "\"+d+=+r%2At+\"
\n" ); document.write( "\"+d+=+6%2A%285%2F3600%29+\" mi
\n" ); document.write( "\"+d+=+.00833+\" mi head start
\n" ); document.write( "Now you start a stopwatch when you are released.
\n" ); document.write( "Your equation is:
\n" ); document.write( "(1) \"+d%5Bf%5D+=+7t+\" (t is in hours)
\n" ); document.write( "Your Son's equation is:
\n" ); document.write( "(2) \"+d%5Bs%5D+=+6t++\" ( you both will have the same t now)
\n" ); document.write( "and
\n" ); document.write( "(3) \"+d%5Bf%5D+=+d%5Bs%5D+%2B+.00833+\"
\n" ); document.write( "You have 3 equations and 3 unknowns, so it's solvable
\n" ); document.write( "Substitute (1) and (2) in (3)
\n" ); document.write( "(3) \"+7t+=+6t+%2B+.00833+\"
\n" ); document.write( "(3) \"+t+=+.00833+\" hrs
\n" ); document.write( "Now convert to seconds:
\n" ); document.write( "\"+.00833+\" hrs x \"+3600+\" sec/hr = \"+30+\" sec
\n" ); document.write( "It will take you 30 sec to pass your son
\n" ); document.write( "------------------------------
\n" ); document.write( "You will have gone
\n" ); document.write( "\"+d%5Bf%5D+=+7%2A.00833+\"
\n" ); document.write( "\"+d%5Bf%5D+=+.05831+\" mi
\n" ); document.write( "That is \"+.05831%2A5280+=+307.88+\" ft
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