document.write( "Question 1152237: A truck enters a highway driving 60 mph. A car enters the highway at the same place 8 minutes later and drives 73 mph in the same direction. From the time the car enters the highway, how long will it take the car to pass the truck? \n" ); document.write( "

Algebra.Com's Answer #774215 by josmiceli(19441) $\"\"$ $\"About$

You can put this solution on YOUR website!
$\"+8%2F60+=+1%2F15+\"$ hrs is the 1st car's head start
\n" ); document.write( "Let $\"+d+\"$ = distance in miles the car travels
\n" ); document.write( "until it catches the truck
\n" ); document.write( "Let $\"+t+\"$ = time in hrs the car takes to catch the truck
\n" ); document.write( "--------------------------------
\n" ); document.write( "Equation for truck:
\n" ); document.write( "(1) $\"+d+-+60%2A%281%2F15%29+=+60t+\"$
\n" ); document.write( "Equation for car:
\n" ); document.write( "(2) $\"+d+=+73t+\"$
\n" ); document.write( "-----------------------------------
\n" ); document.write( "(1) $\"+73t+-+60%2A%281%2F15%29+=+60t+\"$
\n" ); document.write( "(1) $\"+13t+=+4+\"$
\n" ); document.write( "(1) $\"+t+=+4%2F13+\"$ hrs
\n" ); document.write( " $\"+%28+4%2F13%29%2A60+=+18.46+\"$
\n" ); document.write( "The car passes the truck in 18.46 minutes
\n" ); document.write( "-------------------------
\n" ); document.write( "check:
\n" ); document.write( "(2) $\"+d+=+73t+\"$
\n" ); document.write( "(2) $\"+d+=+73%2A%284%2F13%29+\"$
\n" ); document.write( "(2) $\"+d+=+22.46+\"$ mi
\n" ); document.write( "and
\n" ); document.write( "(1) $\"+d+-+60%2A%281%2F15%29+=+60t+\"$
\n" ); document.write( "(1) $\"+d+-+60%2A%281%2F15%29+=+60%2A%284%2F13%29+\"$
\n" ); document.write( "(1) $\"+d+-+4+=+18.4615+\"$
\n" ); document.write( "(1) $\"+d+=+22.46+\"$ mi
\n" ); document.write( "OK
\n" ); document.write( "Get a 2nd opinion if needed
\n" ); document.write( " \n" ); document.write( "

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