document.write( "Question 138689: A truck traveling at a constant rate of 45 miles per hour leaves Buffalo traveling west. At the same time, a car leaves a city 800 miles west of Buffalo traveling east at a constant rate of 60 miles per hour. If both vehicles are traveling on the same highway, how far, to the nearest mile, will each vehicle travel before they meet? \n" ); document.write( "

Algebra.Com's Answer #101221 by josmiceli(19441) $\"\"$ $\"About$

You can put this solution on YOUR website!
What is the same for both vehicles? That's aways the key question
\n" ); document.write( "in these problems. It is elapsed time until they meet
\n" ); document.write( "For the truck:
\n" ); document.write( " $\"d+=+r%2At\"$
\n" ); document.write( " $\"d+=+45t\"$
\n" ); document.write( " $\"t+=+d%2F45\"$
\n" ); document.write( "For the car:
\n" ); document.write( " $\"800+-+d+=+60t\"$
\n" ); document.write( "Now use substitution
\n" ); document.write( " $\"800+-+d+=+60%28d%2F45%29\"$
\n" ); document.write( " $\"45%2A800+-+45d+=+60d\"$
\n" ); document.write( " $\"36000+=+105d\"$
\n" ); document.write( " $\"d+=+342.86\"$ , or to the nearest mile. 343 mi
\n" ); document.write( " $\"800+-+343+=+457\"$
\n" ); document.write( "The truck travels 343 mi and the car travels 457 mi before they meet \n" ); document.write( "

\n" );