document.write( "Question 697082: a man cover 15 km in 3 hours, partly by walking and partly by cycling. If he walks 3km/h and cycle at 9km/h then what distance did he cycle? \n" ); document.write( "

Algebra.Com's Answer #429655 by josmiceli(19441) $\"\"$ $\"About$

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Let $\"+d+\"$ = distance he walked in km
\n" ); document.write( " $\"+15+-+d+\"$ = distance he cycled in km
\n" ); document.write( "Let $\"+t+\"$ = the time spent walking in hrs
\n" ); document.write( " $\"+3+-+t+\"$ = time spent cycling in hrs
\n" ); document.write( "--------------------------
\n" ); document.write( "(1) $\"+d+=+3t+\"$
\n" ); document.write( "(2) $\"+15+-+d+=+9%2A%28+3-t+%29+\"$
\n" ); document.write( "----------------------
\n" ); document.write( "(2) $\"+15+-+d+=+27+-+9t+\"$
\n" ); document.write( "Substitute (1) into (2)
\n" ); document.write( "(2) $\"+15+-+3t+=+27+-+9t+\"$
\n" ); document.write( "(2) $\"+6t+=+27+-+15+\"$
\n" ); document.write( "(2) $\"+6t+=+12+\"$
\n" ); document.write( "(2) $\"+t+=+2+\"$
\n" ); document.write( "and, since
\n" ); document.write( "(1) $\"+d+=+3t+\"$
\n" ); document.write( "(1) $\"+d+=+3%2A2+\"$
\n" ); document.write( "(1) $\"+d+=+6+\"$
\n" ); document.write( " $\"+15+-+d+=+15+-+6+\"$
\n" ); document.write( " $\"+15+-+d+=+9+\"$
\n" ); document.write( "He cycled 9 km
\n" ); document.write( "check answer:
\n" ); document.write( "(2) $\"+15+-+d+=+9%2A%28+3-t+%29+\"$
\n" ); document.write( "(2) $\"+15+-+6+=+9%2A%28+3-2+%29+\"$
\n" ); document.write( "(2) $\"+9+=+9+\"$
\n" ); document.write( "and
\n" ); document.write( "(1) $\"+d+=+3t+\"$
\n" ); document.write( "(1) $\"+6+=+3%2A2+\"$
\n" ); document.write( "(1) $\"+6+=+6+\"$
\n" ); document.write( "OK \n" ); document.write( "

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