document.write( "Question 1126120: Need help please. I don't know how to set this problem up. I wish my text did a better job explaining, but here I am.\r
\n" ); document.write( "\n" ); document.write( "Greg left Mark's house and traveled toward the mountains. Two hours later Fred left Mark's house traveling 18 MPH faster in an effort to catch up. After three hours Fred finally caught up. What was Greg's average speed?\r
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Algebra.Com's Answer #742468 by ikleyn(52781) $\"\"$ $\"About$

You can put this solution on YOUR website!
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document.write( "Let x be the Greg's average spreed.\r\n" );
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document.write( "Greg traveled  2 + 3 = 5 hours  and covered  5x  miles before Fred caught him.\r\n" );
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document.write( "Fred traveled 3 hours at the speed (x+18) miles per hour; hence, Fred traveled 3*x miles.\r\n" );
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document.write( "The distance each of them traveled from the start to the caught point is the same, \r\n" );
document.write( "which gives you an equation\r\n" );
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document.write( "    5x = 3*(x+18).\r\n" );
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document.write( "This is the central moment in setup.\r\n" );
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document.write( "As soon as you got it and as soon as you understood how you got it, the setup is done.\r\n" );
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document.write( "The solution is very easy:\r\n" );
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document.write( "    5x = 3x + 54  ====>  5x - 3x = 54  ====>  2x = 54  ====x = 54/2 = 27.\r\n" );
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document.write( "Answer.  The Greg's average speed was  27 miles per hour.\r\n" );
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\n" ); document.write( "\n" ); document.write( "There are introductory lessons on Travel and Distance problems\r
\n" ); document.write( "\n" ); document.write( "    - Travel and Distance problems \r
\n" ); document.write( "\n" ); document.write( "    - Travel and Distance problems for two bodies moving in opposite directions \r
\n" ); document.write( "\n" ); document.write( "    - Travel and Distance problems for two bodies moving in the same direction (catching up)\r
\n" ); document.write( "\n" ); document.write( "in this site.\r
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\n" ); document.write( "\n" ); document.write( "They are written specially for you.\r
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\n" ); document.write( "\n" ); document.write( "You will find the solutions of many similar problems there.\r
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\n" ); document.write( "\n" ); document.write( "Read them and learn once and for all from these lessons on how to solve simple Travel and Distance problems.\r
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\n" ); document.write( "\n" ); document.write( "Become an expert in this area.\r
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