document.write( "Question 847872: A car is traveling on the freeway at 65 mph. A second car is two miles ahead, traveling in the same direction, at 60 mph. How far will the cars travel before the car traveling 65 mph will catch up to the car traveling 60 mph? \n" ); document.write( "
Algebra.Com's Answer #510721 by josmiceli(19441)\"\" \"About 
You can put this solution on YOUR website!
Let \"+d+\" = the distance in miles that the
\n" ); document.write( "65 mi/hr car has to travel to catch the 60 mi/hr car
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\n" ); document.write( "\"+d+-+2+\" is the distance in miles that the
\n" ); document.write( "60 mi/hr car has to travel until the other car
\n" ); document.write( "catches up
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\n" ); document.write( "Start a stopwatch when the 65 mi/hr car is 2 miles
\n" ); document.write( "behind the 60 mi/hr car
\n" ); document.write( "Let \"+t+\" = the time on the stopwatch when
\n" ); document.write( "the cars meet
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\n" ); document.write( "Equation for 65 mi/hr car:
\n" ); document.write( "(1) \"+d+=+65t+\"
\n" ); document.write( "Equation for 60 mi/hr car:
\n" ); document.write( "(2) \"+d+-+2+=+60t+\"
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\n" ); document.write( "Substitute (1) into (2)
\n" ); document.write( "(2) \"+65t+-+2+=+60t+\"
\n" ); document.write( "(2) \"+5t+=+2+\"
\n" ); document.write( "(2) \"+t+=+.4+\" hrs
\n" ); document.write( "and
\n" ); document.write( "(1) \"+d+=+65t+\"
\n" ); document.write( "(1) \"+d=+65%2A.4+\"
\n" ); document.write( "(1) \"+d+=+26+\"mi
\n" ); document.write( "and, also:
\n" ); document.write( "\"+d+-+2+=+24+\"
\n" ); document.write( "The 65 mi/hr car travels 26 mi
\n" ); document.write( "The 60 mi/hr car travels 24 mi
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\n" ); document.write( "check:
\n" ); document.write( "(2) \"+d+-+2+=+60t+\"
\n" ); document.write( "(2) \"+24+=+60%2A.4+\"
\n" ); document.write( "(2) \"+24+=+24+\"
\n" ); document.write( "OK\r
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