document.write( "Question 787298: I need help. I know that this has to do with time, Distance and rate, but I am having a problem setting up this problem and where do I put the X. Shannon drove 45MPH to her sister vanessas house, she stayed for lunch which was 1 1/2 hours, then shannon drove home at 55MPH. The whole trip including lunch was 4 hours. How far does shannon live from vanessa?
\n" ); document.write( "
\n" ); document.write( "

Algebra.Com's Answer #478164 by josgarithmetic(39617)\"\" \"About 
You can put this solution on YOUR website!
You just account for time and rely on movement using rate*time=distance.
\n" ); document.write( "\"r%2Ah=d\" for rate, time in hours, distance in miles.\r
\n" ); document.write( "\n" ); document.write( "divide both sides by r and have: \"h=d%2Fr\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "The time traveling was \"4-1%261%2F2\" hours.
\n" ); document.write( "Times for going and returning are unknowns, x and y.\r
\n" ); document.write( "\n" ); document.write( "45*x+55*y= distance that you do not know, say d.
\n" ); document.write( "\"45x%2B55y=d\"
\n" ); document.write( "and \"x%2By=2%261%2F2\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "So far, your problem is incomplete. You have THREE variables but only TWO equations.
\n" ); document.write( "
\n" );