document.write( "Question 733965: Twenty minutes after Melissa’s older sister left home for
\n" ); document.write( "band practice, Melissa saw that she had forgotten her sheet
\n" ); document.write( "music, and ran after her. If Melissa runs three times as fast
\n" ); document.write( "as her older sister, how long will it take to reach her?\r
\n" ); document.write( "\n" ); document.write( "There is a similar question already posted, but I do not understand the solution. The posted questions is: \r
\n" ); document.write( "\n" ); document.write( "Ten minutes after Sasha’s little brother left home for karate
\n" ); document.write( "class, Sasha saw that he had forgotten his karate uniform,
\n" ); document.write( "and she ran after him. If Sasha runs twice as fast as her little
\n" ); document.write( "brother, how long will it take her to reach him?\r
\n" ); document.write( "\n" ); document.write( "Can you help me to understand the posted solution? I need to be able to completly understand this problem so I can explain it to others.\r
\n" ); document.write( "\n" ); document.write( "THANKS!!
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Algebra.Com's Answer #448666 by josmiceli(19441)\"\" \"About 
You can put this solution on YOUR website!
Let \"+s+\" = older sister's speed in mi/hr
\n" ); document.write( "\"+3s+\" = Melissa's speed in mi/hr
\n" ); document.write( "-----------------------
\n" ); document.write( "\"+20+\" min = \"+1%2F3+\" hr
\n" ); document.write( "older sister's head start is \"+s%2A%281%2F3%29+\" mi
\n" ); document.write( "Let \"+d+\" = distance Melissa has to travel to catch sister
\n" ); document.write( "Let \"+t+\" = time to catch her
\n" ); document.write( "--------------
\n" ); document.write( "Sister's equation:
\n" ); document.write( "\"+d+-+%281%2F3%29%2As+=+s%2At+\"
\n" ); document.write( "Melissa's equation:
\n" ); document.write( "\"+d+=+3s%2At+\"
\n" ); document.write( "------------
\n" ); document.write( "\"+s%2At+%2B+%281%2F3%29%2As+=+3s%2At+\"
\n" ); document.write( "\"+2s%2At+=+s%2F3+\"
\n" ); document.write( "\"+t+=+1%2F6+\"
\n" ); document.write( "\"+%28+1%2F6%29%2A60+=+10+\"
\n" ); document.write( "She catches her in 10 minutes
\n" ); document.write( "--------------------------
\n" ); document.write( "(2)
\n" ); document.write( "\"+10+\" min = \"+1%2F6+\" hr
\n" ); document.write( "Let \"+s+\" = little brother's speed in mi/hr
\n" ); document.write( "\"+2s+\" = Sasha's speed in mi/hr
\n" ); document.write( "-----------------------------
\n" ); document.write( "Little brother's head start is \"+%281%2F6%29%2As+\"
\n" ); document.write( "Let \"+d+\" = distance in mi Sasha has to travel to catch him
\n" ); document.write( "Let \"+t+\" = time in hrs to catch him
\n" ); document.write( "----------------
\n" ); document.write( "Little brother's equation:
\n" ); document.write( "\"+d+-+%281%2F6%29%2As+=+s%2At+\"
\n" ); document.write( "Sasha's equation:
\n" ); document.write( "\"+d+=+2s%2At+\"
\n" ); document.write( "-----------
\n" ); document.write( "\"+s%2At+%2B+%281%2F6%29%2As+=+2s%2At+\"
\n" ); document.write( "\"+s%2At+=+%281%2F6%29%2As+\"
\n" ); document.write( "\"+t+=+1%2F6+\"
\n" ); document.write( "\"+%281%2F6%29%2A60+=+10+\"
\n" ); document.write( "She catches him in 10 minutes
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\n" ); document.write( "Note that I put in familiar units, but any
\n" ); document.write( "units for distance could be used\r
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