document.write( "Question 1085265: Erin rides her bike from home to school in 15 minutes. If she increases her speed by 5 km/hr, she reduces her travel time by 5 minutes. What is the distance from her home to her school. \n" ); document.write( "
Algebra.Com's Answer #699331 by josmiceli(19441)\"\" \"About 
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Let \"+d+\" = the distance from home to school in km
\n" ); document.write( "Let \"+s+\" = her speed in km/hr
\n" ); document.write( "Let \"+t+\" =her time in hrs to go from home to school
\n" ); document.write( "-------------------------------------------------
\n" ); document.write( "\"+d+=+s%2At+\"
\n" ); document.write( "Convert minutes to hrs
\n" ); document.write( "[ min ] x [ hrs/min ] = [ hrs ]
\n" ); document.write( "\"+15%2A%28+1%2F60+%29+=+1%2F4+\" hrs
\n" ); document.write( "and, also:
\n" ); document.write( "\"+5%2A%281%2F60%29+=+1%2F12+\" hrs
\n" ); document.write( "----------------------------
\n" ); document.write( "Her equation for a normal trip is:
\n" ); document.write( "(1) \"+d+=+s%2A%281%2F4%29+\"
\n" ); document.write( "If she increases her speed, the equation is:
\n" ); document.write( "(2) \"+d+=+%28+s+%2B+5+%29%2A%28+1%2F4+-+1%2F12+%29+\"
\n" ); document.write( "----------------------------------
\n" ); document.write( "(2) \"+d+=+%28+s+%2B+5+%29%2A%28+2%2F12+%29+\"
\n" ); document.write( "(2) \"+d+=+%28+s+%2B+5+%29%2A%281%2F6%29+\"
\n" ); document.write( "Plug (1) into (2)
\n" ); document.write( "(2) \"+%281%2F4%29%2As+=+%28+s+%2B+5+%29%2A%281%2F6+%29+\"
\n" ); document.write( "Multiply both sides by \"+12+\"
\n" ); document.write( "(2) \"+3s+=+2%2A%28+s+%2B+5+%29+\"
\n" ); document.write( "(2) \"+3s+=+2s+%2B+10+%7D%7D%0D%0A%282%29+%7B%7B%7B+s+=+10+\" km/hr
\n" ); document.write( "and
\n" ); document.write( "(1) \"+d+=+s%2A%281%2F4%29+\"
\n" ); document.write( "(1) \"+d+=+10%2A%281%2F4%29+\"
\n" ); document.write( "(1) \"+d+=+2.5+\" km
\n" ); document.write( "The distance from home to school is 2.5 km
\n" ); document.write( "--------------------------------------------
\n" ); document.write( "check answer:
\n" ); document.write( "(2) \"+d+=+%28+s+%2B+5+%29%2A%281%2F6%29+\"
\n" ); document.write( "(2) \"+d+=+%28+10+%2B+5+%29%2A%281%2F6%29+\"
\n" ); document.write( "(2) \"+d+=+15%2F6+\"
\n" ); document.write( "(2) \"+d+=+5%2F2+\"
\n" ); document.write( "(2) \"+d+=+2.5+\" km
\n" ); document.write( "OK\r
\n" ); document.write( "\n" ); document.write( "
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