document.write( "Question 1143161: A motorcycle that travels 80km/h starts 45 minutes after a truck. If it overtake the truck in 15 minutes, what is the speed of the truck? \n" ); document.write( "

Algebra.Com's Answer #763938 by josmiceli(19441) $\"\"$ $\"About$

You can put this solution on YOUR website!
Let $\"+s+\"$ = the speed of the truck in km/hr
\n" ); document.write( "Let $\"+d+\"$ = distance in km the motorcycle travels in 15 min
\n" ); document.write( "---------------------------------------------------------------
\n" ); document.write( "Equation for motorcycle:
\n" ); document.write( "(1) $\"+d+=+80%2A%28+15%2F60+%29+\"$
\n" ); document.write( "Equation for truck:
\n" ); document.write( "(2) $\"+d+-+s%2A%2845%2F60+%29+=+s%2A%28+15%2F60+%29+\"$
\n" ); document.write( "----------------------------------------
\n" ); document.write( "(1) $\"+d+=+80%2A%28+1%2F4+%29+\"$
\n" ); document.write( "(1) $\"+d+=+20+\"$ km
\n" ); document.write( "and
\n" ); document.write( "(2) $\"+d+-+s%2A%28+3%2F4+%29+=+s%2A%28+1%2F4+%29+\"$
\n" ); document.write( "(2) $\"+d+=+s+\"$
\n" ); document.write( "(2) $\"+s+=+20+\"$ km/hr
\n" ); document.write( "---------------------------------
\n" ); document.write( "check answer:
\n" ); document.write( "In 45 min plus 15 min, the truck travels distance $\"+d+\"$
\n" ); document.write( " $\"+d+=+20%2A1+\"$
\n" ); document.write( " $\"+20+=+20+\"$
\n" ); document.write( "OK
\n" ); document.write( " \n" ); document.write( "

\n" );