document.write( "Question 203796: A girl walked 1/3 of the way at 3 mph and got a car ride the rest of the way at 30 mph. What was her average speed? \n" ); document.write( "
Algebra.Com's Answer #153799 by MathTherapy(10552)\"\" \"About 
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\n" ); document.write( "D = RT\r
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\n" ); document.write( "\n" ); document.write( "Let the distance the girl traveled be d. Since her rate of speed is 3 mph, then for the first \"1%2F3\" of the journey, her time to cover “d” distance is:\r
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\n" ); document.write( "\n" ); document.write( "\"%281%2F3%2Ad%29+%2F3\", or \"%28d%2F3%29%2A%281%2F3%29\", or \"d%2F9\"\r
\n" ); document.write( "\n" ); document.write( "Since her rate of speed for the rest of the journey, \"2%2F3\" is 30 mph, then for the rest of the journey, her time to cover that distance is:\r
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\n" ); document.write( "\n" ); document.write( "\"%282%2F3%2Ad%29+%2F30\", or \"%282d%2F3%29%2A%281%2F30%29\", or, \"d%2F45%29\". The total time she took for the entire journey is therefore \"%28d%2F9%29%2B%28d%2F45%29%29\", or \"6d%2F45\" = \"2d%2F15\"\r
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\n" ); document.write( "\n" ); document.write( "Since her total time to cover the entire distance is \"2d%2F15\", and since her total journey = “d,” then her average speed = \"d%2F%282d%2F15%29\", or, \"15%2F2\" = \"highlight_green%287.5%29\" mph.
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