document.write( "Question 1078376: Two cyclists travel 210 miles. One cyclist, traveling 10 mph faster than the second cyclist, covers the distance in 2.4 hours less than the second cyclist. Find the rate of the first cyclist. \n" ); document.write( "

Algebra.Com's Answer #692865 by ikleyn(52852) $\"\"$ $\"About$

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document.write( "Let \"r\" be the rate of the first cyclist, in mph.\r\n" );
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document.write( "Then the rate of the second cyclist is (r-10) mph.\r\n" );
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document.write( "The condition says:\r\n" );
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document.write( " = 2.4.\r\n" );
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document.write( "It is your \"time equation\" to solve for r.\r\n" );
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document.write( "To solve it, multiply oth sides by r*(r-10). You will get\r\n" );
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document.write( "210r - 210(r-10) = 2.4r*(r-10).\r\n" );
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document.write( "Simplify and solve this quadratic equation for \"r\". It is just arithmetic.\r\n" );
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document.write( "Good luck !\r\n" );
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\n" ); document.write( "\n" ); document.write( "If you are interested in learning Travel and Distance problems, there are a lot of solved problems for you in this site.\r
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\n" ); document.write( "\n" ); document.write( "You can find them in this free of charge online textbook on ALGEBRA-I in this site\r
\n" ); document.write( "\n" ); document.write( " ALGEBRA-I - YOUR ONLINE TEXTBOOK.\r
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\n" ); document.write( "\n" ); document.write( "The Travel and Distance problems are the part of this textbook under the section \"Word problems\", the topic \"Travel and Distance problems\".\r
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