document.write( "Question 1103664: Lia walks to the mall from her house at 5mph. 10 minutes later, Lia's sister Megan starts to ride her bike from the same house at 15mph to the mall to meet Lia. They arrive at the same time. How far is the mall from the sister's house? How long did it take Megan to get there? \n" ); document.write( "
Algebra.Com's Answer #718354 by josmiceli(19441)\"\" \"About 
You can put this solution on YOUR website!
Let \"+d+\" = distance from mall to house
\n" ); document.write( "Let \"+t+\" = time in hrs for them both
\n" ); document.write( "to arrive at the mall
\n" ); document.write( "---------------------------------------
\n" ); document.write( "What is Lisa's head start in miles ?
\n" ); document.write( "Also, convert 10 min to hrs
\n" ); document.write( "\"+10%2F60+=+1%2F6+\" hrs
\n" ); document.write( "\"+d%5B1%5D+=+5%2A%281%2F6%29+\"
\n" ); document.write( "\"+d%5B1%5D+=+5%2F6+\" mi
\n" ); document.write( "-------------------------
\n" ); document.write( "Start a stop watch when Megan leaves the house
\n" ); document.write( "\"+t+\" will be the time on the stop watch when
\n" ); document.write( "they both arrive at mall
\n" ); document.write( "-------------------------
\n" ); document.write( "Megan's equation:
\n" ); document.write( "(1) \"+d+=+15t+\"
\n" ); document.write( "Lia's equation:
\n" ); document.write( "(2) \"+d+-+5%2F6+=+5t+\"
\n" ); document.write( "-------------------------
\n" ); document.write( "Plug (1) into (2)
\n" ); document.write( "(2) \"+15t+-+5%2F6+=+5t+\"
\n" ); document.write( "(2) \"+10t+=+5%2F6+\"
\n" ); document.write( "(2) \"+t+=+5%2F60+\" hrs
\n" ); document.write( "convert hrs to min:
\n" ); document.write( "(2) \"+%285%2F60%29%2A60+=+5+\"
\n" ); document.write( "It takes Megan 5 min to get to mall
\n" ); document.write( "-------------------------------------
\n" ); document.write( "(1) \"+d+=+15t+\"
\n" ); document.write( "(1) \"+d+=+15%2A%285%2F60%29+\"
\n" ); document.write( "(1) \"+d+=+75%2F60+\"
\n" ); document.write( "(1) \"+d+=+1.25+\"
\n" ); document.write( "It is 1.25 miles from house to mall
\n" ); document.write( "-----------------------------------------
\n" ); document.write( "check:
\n" ); document.write( "(2) \"+d+-+5%2F6+=+5t+\"
\n" ); document.write( "(2) \"+d+-+5%2F6+=+5%2A%285%2F60%29+\"
\n" ); document.write( "(2) \"+d+=+25%2F60+%2B+50%2F60+\"
\n" ); document.write( "(2) \"+d+=+75%2F60+\"
\n" ); document.write( "(2) \"+d+=+1.25+\"
\n" ); document.write( "OK\r
\n" ); document.write( "\n" ); document.write( "
\n" ); document.write( "
\n" );