document.write( "Question 953093: Paul travels 6km to work. He walks part of the way at 5km/h and gets a bus the rest of the way at 40km/h. The whole journey takes 30 minutes. How far does he walk? \n" ); document.write( "

Algebra.Com's Answer #582031 by josmiceli(19441) $\"\"$ $\"About$

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Let $\"+d+\"$ = distance he walks in km
\n" ); document.write( " $\"+6+-+d+\"$ = the distance he takes bus in km
\n" ); document.write( "Let $\"+t+\"$ = time in hrs he walks
\n" ); document.write( " $\"+.5+-+t+\"$ = time in hrs he spends on bus
\n" ); document.write( "-------------------------
\n" ); document.write( "Equation for walking:
\n" ); document.write( "(1) $\"+d+=+5t+\"$
\n" ); document.write( "Equation on bus:
\n" ); document.write( "(2) $\"+6+-+d+=+40%2A%28+.5+-+t+%29+\"$
\n" ); document.write( "--------------------------
\n" ); document.write( "(2) $\"+6+-+d+=+20+-+40t+\"$
\n" ); document.write( "substitute (1) into (2)
\n" ); document.write( "(2) $\"+6+-+5t+=+20+-+40t+\"$
\n" ); document.write( "(2) $\"+35t+=+14+\"$
\n" ); document.write( "(2) $\"+t+=+14%2F35+\"$
\n" ); document.write( "(2) $\"+t+=+2%2F5+\"$
\n" ); document.write( "and
\n" ); document.write( "(1) $\"+d+=+5t+\"$
\n" ); document.write( "(1) $\"+d+=+5%2A%2814%2F35%29+\"$
\n" ); document.write( "(1) $\"+d+=+2+\"$
\n" ); document.write( "He walks 2 km
\n" ); document.write( "-----------------
\n" ); document.write( "check:
\n" ); document.write( "(2) $\"+6+-+d+=+40%2A%28+.5+-+t+%29+\"$
\n" ); document.write( "(2) $\"+6+-+2+=+40%2A%28+.5+-+.4+%29+\"$
\n" ); document.write( "(2) $\"+4+=+40%2A%28+.1+%29+\"$
\n" ); document.write( "(2) $\"+4+=+4+\"$
\n" ); document.write( "OK
\n" ); document.write( "(1) $\"+d+=+5t+\"$
\n" ); document.write( "(1) $\"+2+=+5%2A%282%2F5%29+\"$
\n" ); document.write( "(1) $\"+2+=+2+\"$
\n" ); document.write( "OK
\n" ); document.write( " \n" ); document.write( "

\n" );