document.write( "Question 815208: 1 Jane and Peter leave their home traveling in opposite directions on a straight road. Peter drives 15 miles per hour faster than Jane. After three hours, they are 225 miles apart. Find Peter’s rate and Jane’s rate.\r
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\n" ); document.write( "\n" ); document.write( "2 Noya drives into the city to buy a computer program. Due to traffic conditions, she averages only 15 mi/h. On her drive home, she averages 35 mi/h. If her total travel time is 2 hours, how long did it take her to drive to the computer store?
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Algebra.Com's Answer #490788 by josmiceli(19441)\"\" \"About 
You can put this solution on YOUR website!
Think of this as Jane standing still and
\n" ); document.write( "Peter moving away from her at the sum of their speeds
\n" ); document.write( "Let Jane's speed in mi/hr = \"+s+\"
\n" ); document.write( "Peter's speed = \"+s+%2B+15+\"
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\n" ); document.write( "When Peter is 225 mi from Jane:
\n" ); document.write( "\"+225+=+%28+s+%2B+s+%2B+15+%29%2A3+\"
\n" ); document.write( "\"+225+=+%28+2s+%2B+15+%29%2A3+\"
\n" ); document.write( "\"+6s+%2B+45+=+225+\"
\n" ); document.write( "\"+6s+=+180+\"
\n" ); document.write( "\"+s+=+30+\"
\n" ); document.write( "\"+s+%2B+15+=+45+\"
\n" ); document.write( "Jane's rate is 30 mi/hr
\n" ); document.write( "Peter's rate is 45 mi/hr
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\n" ); document.write( "Average speed = ( total distance ) / ( total time )
\n" ); document.write( "Let \"+d+\" = distance from home to city
\n" ); document.write( "\"+15+=+d+%2F+t%5B1%5D+\"
\n" ); document.write( "\"+d+=+15t%5B1%5D+\" mi
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\n" ); document.write( "Going back home:
\n" ); document.write( "\"+15t%5B1%5D+=+35%2At%5B2%5D+\"
\n" ); document.write( "\"+3%2At%5B1%5D+=+7t%5B2%5D%0D%0A%7B%7B%7B+t%5B2%5D+=+%283%2F7%29%2At%5B1%5D+\"
\n" ); document.write( "also:
\n" ); document.write( "\"+t%5B1%5D+%2B+t%5B2%5D=+2+\"
\n" ); document.write( "By substitution:
\n" ); document.write( "\"+t%5B1%5D+%2B+%283%2F7%29%2At%5B1%5D+=+2+\"
\n" ); document.write( "\"+t%5B1%5D%28+7%2F7+%2B+3%2F7+%29+=+2+\"
\n" ); document.write( "\"+t%5B1%5D%2A%28+7+%2B+3+%29+=+14+\"
\n" ); document.write( "\"+t%5B1%5D+=+14%2F10+\"
\n" ); document.write( "\"+t%5B1%5D+=+7%2F5+\"
\n" ); document.write( "\"+t%5B1%5D+=+1.4+\"
\n" ); document.write( "\"+.4%2A60+=+24+\"
\n" ); document.write( "Her time going to the store was 1 hr 24 min
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