document.write( "Question 235957: Day 1 drive 40 miles per hour and arrive one minute late.
\n" ); document.write( "Day 2 drive 45 miles per hour and arrive one minute early.
\n" ); document.write( "How far do you drive to work?\r
\n" ); document.write( "\n" ); document.write( "I know the answer is 12 miles, but how do you set up the problem?
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Algebra.Com's Answer #173736 by Stitch(470)\"\" \"About 
You can put this solution on YOUR website!
Since we are using two different time variables I think it is best to convert everything to one unit or the other. I am going to convert everything into minutes.
\n" ); document.write( "1hour = 60min
\n" ); document.write( "\"%2840miles%2F1hour%29%2A%281hour%2F60min%29+=+%28%280.6667%2Amiles%29%2Fmin%29\"
\n" ); document.write( "\"%2845miles%2F1hour%29%2A%281hour%2F60min%29+=+%28%280.75%2Amiles%29%2Fmin%29\"
\n" ); document.write( "In these equations X = time & Y = distance.
\n" ); document.write( "Equation 1: \"0.6667%2A%28X%2B2%29+=+Y\"
\n" ); document.write( "The X+2 is the diffence in the arrival times. 1 minute ealry + 1minute late = 2 minutes.
\n" ); document.write( "Equation 2: \"0.75%2AX+=+Y\"
\n" ); document.write( "Since both equations equal Y, we can set these equations equal to each other.
\n" ); document.write( "\"0.6667%2A%28X%2B2%29+=+0.75%2AX\" Simplify
\n" ); document.write( "\"0.6667X+%2B+1.3334+=+0.75X\" Subtract 0.6667X from both sides
\n" ); document.write( "\"1.3334+=+0.75X+-+0.6667X\" Factor out the X
\n" ); document.write( "\"1.334+=+X%2A%280.75-.06667%29\" Simplify
\n" ); document.write( "\"1.334+=+X%2A%280.0833%29\" Divide both sides by 0.08333
\n" ); document.write( "\"highlight%2816+=+X%29\" Now we know that the time traveled was 16 minutes
\n" ); document.write( "Plug 16 in for X into one of the given equations
\n" ); document.write( "Equation 2: \"0.75%2AX+=+Y\"
\n" ); document.write( "\"0.75%2A%2816%29+=+Y\"
\n" ); document.write( "\"highlight%2812+=+Y%29\"
\n" ); document.write( "Equation 1: \"0.6667%2A%28X%2B2%29+=+Y\"
\n" ); document.write( "\"0.6667%2A%2816%2B2%29+=+Y\"
\n" ); document.write( "\"0.6667%2A%2818%29+=+Y\"
\n" ); document.write( "\"highlight%2812+=+Y%29\"
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