document.write( "Question 1177601: a train travels 30 miles in 5/6 the amount of time it takes a man to drive a car the same distance. if the rate of the train exceeds the rate of the car by 8 miles per hour, find the rate at which the car is traveling. \n" ); document.write( "
Algebra.Com's Answer #806702 by ikleyn(52914)\"\" \"About 
You can put this solution on YOUR website!
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\n" ); document.write( "\n" ); document.write( "            Having the solution,  as it is written and presented in the post by @josgarithmetic, \r
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\n" ); document.write( "\n" ); document.write( "            since his presentation is below any acceptable level.\r
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document.write( "Let x be the car's rate, in miles per hour.\r\n" );
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document.write( "Then the car's time traveled is   \"T%5Bcar%5D\" = \"30%2Fx\"  hours.\r\n" );
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document.write( "According to the condition, then the train's time traveled is  \"T%5Btrain%5D\" = \"%285%2F6%29%2AT%5Bcar%5D\" = \"%285%2F6%29%2A%2830%2Fx%29\" = \"25%2Fx%29\"  hours.\r\n" );
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document.write( "Thus the train's rate is  \"30%2FT%5Btrain%5D\" = \"30%2F%28%2825%2Fx%29%29\" = \"%286x%29%2F5\".\r\n" );
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document.write( "We are given  that the difference of rates is 8 miles per hour.  It means\r\n" );
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document.write( "    \"%286x%29%2F5\" - x = 8.\r\n" );
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document.write( "To solve this equation, multiply both sides by 5.  You will get\r\n" );
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document.write( "    6x - 5x = 40\r\n" );
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document.write( "       x    = 40.\r\n" );
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document.write( "Thus the rate of the car is 40 miles per hour.\r\n" );
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\n" ); document.write( "\n" ); document.write( "Solved and presented in a way,   as  it  SHOULD  be  DONE.\r
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