document.write( "Question 879991: If a scooterist drives at the rate of 24km/hr, he reaches his destination 5 minutes too
\n" ); document.write( "late. If he drives at the rate of 30km/hr, he reaches his destination 4 minutes too soon.
\n" ); document.write( "How far is his destination ? \n" ); document.write( "

Algebra.Com's Answer #531191 by josmiceli(19441) $\"\"$ $\"About$

You can put this solution on YOUR website!
Let $\"+d+\"$ = the distance he travels
\n" ); document.write( "Let $\"+t+\"$ = the \" on time \" time
\n" ); document.write( "----------------------------
\n" ); document.write( "(1) $\"+d+=+24%2A%28+t+%2B+5%2F60+%29+\"$
\n" ); document.write( "(2) $\"+d+=+30%2A%28+t+-+4%2F60+%29+\"$
\n" ); document.write( "-------------------------
\n" ); document.write( "By substitution:
\n" ); document.write( " $\"+24%2A%28+t+%2B+1%2F12+%29+=+30%2A%28+t+-+1%2F15+%29+\"$
\n" ); document.write( " $\"+24t+%2B+24%2F12+=+30t+-+30%2F15+\"$
\n" ); document.write( " $\"+6t+=+2+%2B+2+\"$
\n" ); document.write( " $\"+t+=+2%2F3+\"$
\n" ); document.write( "and
\n" ); document.write( "(1) $\"+d+=+24%2A%28+t+%2B+5%2F60+%29+\"$
\n" ); document.write( "(1) $\"+d+=+24%2A%28+2%2F3+%2B+5%2F60+%29+\"$
\n" ); document.write( "(1) $\"+d+=+24%2A%28+40%2F60+%2B+5%2F60+%29+\"$
\n" ); document.write( "(1) $\"+d+=+24%2A%28+45%2F60+%29+\"$
\n" ); document.write( "(1) $\"+d+=+24%2A%28+3%2F4+%29+\"$
\n" ); document.write( "(1) $\"+d+=+18+\"$
\n" ); document.write( "The destination is 18 km away
\n" ); document.write( "check:
\n" ); document.write( "(1) $\"+d+=+24%2A%28+t+%2B+5%2F60+%29+\"$
\n" ); document.write( "(1) $\"+18+=+24%2A%28+40%2F60+%2B+5%2F60+%29+\"$
\n" ); document.write( "(1) $\"+18%2F24+=+45%2F60+\"$
\n" ); document.write( "(1) $\"+3%2F4+=+3%2F4+\"$
\n" ); document.write( "OK
\n" ); document.write( "You can check (2)\r
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

\n" );