document.write( "Question 1010582: A cyclist leaves home at 7:30 am to cycle to school 7km away. He cycles at 10km/h until he gets a flat tire and then walks the rest of the way at 3km/h. He arrives at school at 8:40 am. How far did he have to push his bicycle? \n" ); document.write( "
Algebra.Com's Answer #626028 by josmiceli(19441)\"\" \"About 
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7:30 to 8:40 is 1 hr 10 min
\n" ); document.write( "This is \"+7%2F6+\" hrs
\n" ); document.write( "Let \"+t+\" = time spent cycling in hrs
\n" ); document.write( "\"+7%2F6+-+t+\" = time spent walking
\n" ); document.write( "Let \"+d+\" = distance cycled in km
\n" ); document.write( "\"+7+-+d+\" = distance walked in km
\n" ); document.write( "------------------------------
\n" ); document.write( "Equation for cycling:
\n" ); document.write( "(1) \"+d+=+10t+\"
\n" ); document.write( "Equation for walking:
\n" ); document.write( "(2) \"+7+-+d+=+3%2A%28+7%2F6+-+t+%29+\"
\n" ); document.write( "-------------------------
\n" ); document.write( "Substitute (1) into (2)
\n" ); document.write( "(2) \"+7+-+10t+=+3%2A%28+7%2F6+-+t+%29+\"
\n" ); document.write( "(2) \"+7+-+10t+=+7%2F2+-+3t+\"
\n" ); document.write( "(2) \"+14+-+20t+=+7+-+6t+\"
\n" ); document.write( "(2) \"+14t+=+7+\"
\n" ); document.write( "(2) \"+t+=+1%2F2+\"
\n" ); document.write( "and
\n" ); document.write( "(1) \"+d+=+10t+\"
\n" ); document.write( "(1) \"+d+=+10%2A%281%2F2%29+\"
\n" ); document.write( "(1) \"+d+=+5+\"
\n" ); document.write( "and
\n" ); document.write( "\"+7+-+d+=+7+-+5+\"
\n" ); document.write( "\"+7+-+d+=+2+\"
\n" ); document.write( "He pushes his bicycle ( walks ) 2 km
\n" ); document.write( "-----------------------
\n" ); document.write( "check:
\n" ); document.write( "(1) \"+d+=+10t+\"
\n" ); document.write( "(1) \"+5+=+10t+\"
\n" ); document.write( "(1) \"+t+=+1%2F2+\"
\n" ); document.write( "and
\n" ); document.write( "(2) \"+7+-+d+=+3%2A%28+7%2F6+-+t+%29+\"
\n" ); document.write( "(2) \"+7+-+5+=+3%2A%28+7%2F6+-+t+%29+\"
\n" ); document.write( "(2) \"+2+=+7%2F2+-+3t+\"
\n" ); document.write( "(2) \"+4+=+7+-+6t+\"
\n" ); document.write( "(2) \"+6t+=+3+\"
\n" ); document.write( "(2) \"+t+=+1%2F2+\"
\n" ); document.write( "OK
\n" ); document.write( "
\n" );