document.write( "Question 1085594: 1) Sara set off on a bicycle trip at 6:30 am at an average rate of 24miles per hour. Her friend Jayne promised to bring her some lunch and she set off by motorcycle 2 hous after Sara left, driving an average of 40 miles per hour. At what time did Jayne catch up with Sara?\r
\n" ); document.write( "\n" ); document.write( "2) Becky would like to have at least $100,000 saved for her daughter's college education. If she invests $25,000 in an education account paying 6/25% interest compounded quarterly, will she reach her goal in 16 years?
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Algebra.Com's Answer #699662 by josmiceli(19441)\"\" \"About 
You can put this solution on YOUR website!
What was Sarah's head start in miles?
\n" ); document.write( "\"+d+=+r%2At+\"
\n" ); document.write( "\"+d%5B1%5D+=+24%2A2+\"
\n" ); document.write( "\"+d%5B1%5D+=+48+\" mi
\n" ); document.write( "---------------------
\n" ); document.write( "Start a stopwatch when Jane leaves and stop it
\n" ); document.write( "when she catches up with Sarah
\n" ); document.write( "( note that it is 8:30 AM when Jane leaves
\n" ); document.write( "Let \"+t+\" = the time on the stopwatch in hours
\n" ); document.write( "Let \"+d+\" = the distance in miles that Jane
\n" ); document.write( "travels until she ctches up with Sarah
\n" ); document.write( "-----------------------------------------------
\n" ); document.write( "Jane's equation:
\n" ); document.write( "(1) \"+d+=+40t+\"
\n" ); document.write( "Sarah's equation:
\n" ); document.write( "(2) \"+d+-+48+=+24t+\"
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\n" ); document.write( "Plug (1) into (2)
\n" ); document.write( "(2) \"+40t+-+48+=+24t+\"
\n" ); document.write( "(2) \"+16t+=+48+\"
\n" ); document.write( "(2) \"+t+=+3+\"
\n" ); document.write( "--------------------
\n" ); document.write( "8:30 plus 3 hrs is 11:30 when
\n" ); document.write( "Jane catches up with Sarah
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\n" ); document.write( "check:
\n" ); document.write( "(1) \"+d+=+40t+\"
\n" ); document.write( "(1) \"+d+=+40%2A3+\"
\n" ); document.write( "(1) \"+d+=+120+\" mi
\n" ); document.write( "and
\n" ); document.write( "(2) \"+d+-+48+=+24t+\"
\n" ); document.write( "(2) \"+d+-+48+=+24%2A3+\"
\n" ); document.write( "(2) \"+d+=+48+%2B+72+\"
\n" ); document.write( "(2) \"+d+=+120+\" mi
\n" ); document.write( "OK
\n" ); document.write( "Note:
\n" ); document.write( "If you send a thank you note for this one, I
\n" ); document.write( "will answer the part 2 of your questions
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