document.write( "Question 345517: A car enters the freeway traveling at 60 miles per hour. A second car enters the freeway 11 minutes later traveling at 65 miles per hour. How long will it take for the second car to catch up to the first car? \n" ); document.write( "

Algebra.Com's Answer #247106 by josmiceli(19441) $\"\"$ $\"About$

You can put this solution on YOUR website!
In $\"11\"$ min, the 1st car travels
\n" ); document.write( " $\"d+=+r%2At\"$
\n" ); document.write( " $\"d+=+60%2A%2811%2F60%29\"$
\n" ); document.write( " $\"d+=+11\"$ mi
\n" ); document.write( "Assume you have a stopwatch and you start it
\n" ); document.write( "when the 2nd car enters the freeway.
\n" ); document.write( "Write equations for both cars that show
\n" ); document.write( " $\"d%5Bx%5D\"$ as the distance that the 2nd car goes
\n" ); document.write( "in order to catch the 1st car.
\n" ); document.write( "1st car:
\n" ); document.write( "(1) $\"d%5Bx%5D+-+11+=+60t\"$
\n" ); document.write( "(1) $\"d%5Bx%5D+=+60t+%2B+11\"$
\n" ); document.write( "2nd car:
\n" ); document.write( "(2) $\"d%5Bx%5D+=+65%2At\"$
\n" ); document.write( "Note that the time $\"t\"$ is when you stop the stopwatch
\n" ); document.write( "Set (1) = (2)
\n" ); document.write( " $\"60t+%2B+11+=+65t\"$
\n" ); document.write( " $\"5t+=+11\"$
\n" ); document.write( " $\"t+=+2.2\"$ hr
\n" ); document.write( "It will take 2 hrs and 12 min for 2nd to catch 1st
\n" ); document.write( "check:
\n" ); document.write( "(1) $\"d%5Bx%5D+-+11+=+60t\"$
\n" ); document.write( "(1) $\"d%5Bx%5D+-+11+=+60%2A2.2\"$
\n" ); document.write( " $\"d%5Bx%5D+=+132+%2B+11\"$
\n" ); document.write( " $\"d%5Bx%5D+=+143\"$ mi
\n" ); document.write( "and
\n" ); document.write( "(2) $\"d%5Bx%5D+=+65%2At\"$
\n" ); document.write( "(2) $\"d%5Bx%5D+=+65%2A2.2\"$
\n" ); document.write( " $\"d%5Bx%5D+=+143\"$ mi
\n" ); document.write( "OK \n" ); document.write( "

\n" );