document.write( "Question 214012This question is from textbook california algebra 1
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\n" ); document.write( "Connor is driving 65 miles per hour on the highway. Ed is 15 miles behind him driving at 70 miles per hour. After how may hours will ED catch up to Connor?\r
\n" ); document.write( "\n" ); document.write( "I learned about d=rt but I can't seem to get this one. I understand that it is pushing me to think, but...
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Algebra.Com's Answer #161658 by josmiceli(19441)\"\" \"About 
You can put this solution on YOUR website!
Imagine you have a stopwatch. You start it at
\n" ); document.write( "the exact moment that Ed is 15 mi behind Connor.
\n" ); document.write( "You will stop the stopwatch at the exact moment
\n" ); document.write( "Ed catches Connor. That means they are both
\n" ); document.write( "going to be driving for the same length of time.
\n" ); document.write( "You also know that Ed will have to drive 15 mi more
\n" ); document.write( "than Connor to catch him.
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\n" ); document.write( "You need 2 sets of equations, one for each driver
\n" ); document.write( "\"d%5Bc%5D+=+r%5Bc%5D%2At%5Bc%5D\"
\n" ); document.write( "and
\n" ); document.write( "\"d%5Be%5D+=+r%5Be%5D%2At%5Be%5D\"
\n" ); document.write( "You already know that \"t%5Bc%5D+=+t%5Be%5D\" (call them both \"t\")
\n" ); document.write( "And \"d%5Be%5D+=+d%5Bc%5D+%2B+15\"
\n" ); document.write( "given:
\n" ); document.write( "\"r%5Bc%5D+=+65\"
\n" ); document.write( "\"r%5Be%5D+=+70\"
\n" ); document.write( "Now rewrite the equations
\n" ); document.write( "\"d%5Bc%5D+=+65t\"
\n" ); document.write( "\"d%5Bc%5D+%2B+15+=+70t\"
\n" ); document.write( "And by substitution,
\n" ); document.write( "\"65t+%2B+15+=+70t\"
\n" ); document.write( "\"5t+=+15\"
\n" ); document.write( "\"t+=+3\" hrs
\n" ); document.write( "Ed will catch Connor in 3 hrs
\n" ); document.write( "check answer:
\n" ); document.write( "\"d%5Bc%5D+=+65t\"
\n" ); document.write( "\"d%5Bc%5D+=+65%2A3\"
\n" ); document.write( "\"d%5Bc%5D+=+195\" mi
\n" ); document.write( "and
\n" ); document.write( "\"d%5Bc%5D+%2B+15+=+70t\"
\n" ); document.write( "\"195+%2B+15+=+70%2A3\"
\n" ); document.write( "\"210+=+210\"
\n" ); document.write( "OK\r
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