document.write( "Question 1108489: Kathy bikes 7km/h faster than Dan. In the same time it takes Dan to bike 45 km, Kathy can bike 66 km. How fast does each person travel? \n" ); document.write( "
Algebra.Com's Answer #723495 by ikleyn(52776)\"\" \"About 
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document.write( "The \"time\" equation is\r\n" );
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document.write( "\"45%2Fr\" = \"66%2F%28r%2B7%29\"      (\"it takes \"the same time\" . . . )\r\n" );
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document.write( "===========>  45*(r+7) = 66r,\r\n" );
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document.write( "45*7 + 45r = 66r,\r\n" );
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document.write( "45*7 = 66r - 45r = 21r  ====>  r = \"%2845%2A7%29%2F21\" = 15.\r\n" );
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document.write( "Answer.  Dan's rate is 15 km/h.  Kathy rate is 15+7 = 22 km/h\r\n" );
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document.write( "Check.  \"45%2F15\" = 3 = \"66%2F22\".   ! Correct !\r\n" );
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