document.write( "Question 914375: A man cycle down to a village at 18km/h and returns at 12km/p. If he takes 6.25 hours for double journey, how far dies he ride altogether. \n" ); document.write( "

Algebra.Com's Answer #555054 by josmiceli(19441) $\"\"$ $\"About$

You can put this solution on YOUR website!
Let $\"+d+\"$ = the one-way distance
\n" ); document.write( "in km to the village
\n" ); document.write( "-------------------
\n" ); document.write( "Going to the village:
\n" ); document.write( "Let $\"+t+\"$ = time in hrs to go to the village
\n" ); document.write( "-------------------------------------
\n" ); document.write( " $\"+d+=+18t+\"$
\n" ); document.write( "Coming back from village:
\n" ); document.write( " $\"+d+=+12%2A%28+6.25+-+t+%29+\"$
\n" ); document.write( "-----------------------
\n" ); document.write( "By substitution:
\n" ); document.write( " $\"+18t+=+12%2A%28+6.25+-+t+%29+\"$
\n" ); document.write( " $\"+18t+=+75+-+12t+\"$
\n" ); document.write( " $\"+30t+=+75+\"$
\n" ); document.write( " $\"+t+=+2.5+\"$
\n" ); document.write( "and
\n" ); document.write( " $\"+d+=+18t+\"$
\n" ); document.write( " $\"+d+=+18%2A2.5+\"$
\n" ); document.write( " $\"+d+=+45+\"$
\n" ); document.write( " $\"+2d+=+90+\"$
\n" ); document.write( "Total distance traveled is 90 km
\n" ); document.write( "check:
\n" ); document.write( " $\"+d+=+12%2A%28+6.25+-+t+%29+\"$
\n" ); document.write( " $\"+45+=+12%2A%28+6.25+-+2.5+%29+\"$
\n" ); document.write( " $\"+45+=+12%2A3.75+\"$
\n" ); document.write( " $\"+45+=+45+\"$
\n" ); document.write( "OK
\n" ); document.write( " \n" ); document.write( "

\n" );