document.write( "Question 870282: Α Boy covered 31 km in 4 hours
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document.write( "He cycled part of the way at 14km/h and walked the rest of the way at 4km/h
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document.write( "How far did he walk? \n" );
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Algebra.Com's Answer #524781 by mananth(16946)![]() ![]() You can put this solution on YOUR website! Boy covered 31 km in 4 hours \n" ); document.write( "He cycled part of the way at 14km/h and walked the rest of the way at 4km/h \n" ); document.write( "How far did he walk?\r \n" ); document.write( "\n" ); document.write( "let him walk x km \n" ); document.write( "speed =4 km/h \n" ); document.write( "t=x/4\r \n" ); document.write( "\n" ); document.write( "he will cycle 31-x \n" ); document.write( "speed =14km/h \n" ); document.write( "t=(31-x)/14\r \n" ); document.write( "\n" ); document.write( "cycle time + walking time = 4\r \n" ); document.write( "\n" ); document.write( "x/4 + (31-x)/14 =4\r \n" ); document.write( "\n" ); document.write( "Multiply by LCM 28 \n" ); document.write( "7x+2(31-x)=4*28 \n" ); document.write( "7x+62-2x=112 \n" ); document.write( "5x=112-62 \n" ); document.write( "5x=50 \n" ); document.write( "x=10 km \n" ); document.write( "he walks 10 km\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |