document.write( "Question 266105: The question is: Two cars start at the same point and travel in opposite directions. One car travels 5 mph faster than the other car. After 4 hrs, the two cars are 420 miles apart. Find the speed of each car. \r
\n" ); document.write( "\n" ); document.write( " One set of equations I tried was x+y=4, 5x+y=420, and another set was x+y=420, 5x+4y=420. I was unable to get the correct answers with either set of equations. Thanks for your help!!
\n" ); document.write( "

Algebra.Com's Answer #195556 by josmiceli(19441)\"\" \"About 
You can put this solution on YOUR website!
By far, the easiest way to solve this is to just visualize it
\n" ); document.write( "and don't think of it as 2 cars, but 1 car which is going at
\n" ); document.write( "the combined speed of both cars. You don't care where that 1
\n" ); document.write( "car starts from. All you care about is that it goes \"420\" mi
\n" ); document.write( "in \"4\" hrs. Call the speed \"s+%2B+s+%2B+5\", the combined speed.
\n" ); document.write( "The equation would be:
\n" ); document.write( "\"420+=+%28s+%2B+s+%2B+5%29%2A4\"
\n" ); document.write( "\"420+=+8s+%2B+20\"
\n" ); document.write( "\"8s+=+400\"
\n" ); document.write( "\"s+=+50\" mi/hr
\n" ); document.write( "\"s+%2B+5+=+55\" mi/hr
\n" ); document.write( "The faster car goes 55 mi/hr and
\n" ); document.write( "the slower car goes 50 mi/hr
\n" ); document.write( "check answers:
\n" ); document.write( "\"d%5B1%5D+=+55%2A4\"
\n" ); document.write( "\"d%5B1%5D+=+220\" mi
\n" ); document.write( "\"d%5B2%5D+=+50%2A4\"
\n" ); document.write( "\"d%5B2%5D+=+200\" mi
\n" ); document.write( "\"200+%2B+220+=+420\"
\n" ); document.write( "OK\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " \r
\n" ); document.write( "\n" ); document.write( "
\n" ); document.write( "
\n" );