document.write( "Question 1189258: Please help me to solve this question!!\r
\n" ); document.write( "\n" ); document.write( ": one third of a certain journey was covered at the speed of 20 km per hour , one fourth at the rate of 30 km per hour and the rest at the rate of 50 km per hour.
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Algebra.Com's Answer #820573 by ikleyn(52792)\"\" \"About 
You can put this solution on YOUR website!
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\n" ); document.write( "one third of a certain journey was covered at the speed of 20 km per hour ,
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\n" ); document.write( "\n" ); document.write( "            Calculations by @josgarithmetic have  FATAL  ERRORS, \r
\n" ); document.write( "\n" ); document.write( "            so I came to bring a correct solution.\r
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document.write( "Let d be the distance.\r\n" );
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document.write( "Part \"d%2F3\" was covered at 20 km/h;  it took  \"d%2F%283%2A20%29\" = \"d%2F60\" hours.\r\n" );
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document.write( "Part \"d%2F4\" was covered at 30 km/h;  it took  \"d%2F%284%2A30%29\" = \"d%2F120\" hours.\r\n" );
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document.write( "The rest distance,  \"d+-+d%2F3+-+d%2F4\" = \"%285d%29%2F12\"  kilometers, was covered at 50 km/h;  \r\n" );
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document.write( "                    it took \"%285d%29%2F%2812%2A50%29\" = \"d%2F120\" hours.\r\n" );
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document.write( "Total time is  \"d%2F60+%2B+d%2F120+%2B+d%2F120\" = \"d%2F60+%2B+d%2F60\" = \"2d%2F60\" = \"d%2F30\".\r\n" );
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document.write( "Therefore, the average speed = \"d%2F%28%28d%2F30%29%29\" = 30 km/h.    ANSWER.  \r\n" );
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\n" ); document.write( "\n" ); document.write( "Solved.\r
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