document.write( "Question 1141760: An athlete runs for 2 hours and walks for 1 hour to cover a distance of 40km. If he runs for 2.5 hours and walks for 0,5 hours he covers 45km. Calculate his running speed and his walking speed. You may assume that each is constant. \n" ); document.write( "

Algebra.Com's Answer #762380 by josgarithmetic(39618) $\"\"$ $\"About$

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document.write( "           SPEED     TIMES     TIMES\r\n" );
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document.write( "WALK       w           1        0.5\r\n" );
document.write( "\r\n" );
document.write( "RUN        r           2        2.5\r\n" );
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document.write( "DISTANCES             40       45\r\n" );
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\n" ); document.write( " $\"system%28w%2B2r=40%2Cw%2F2%2B2.5r=45%29\"$ \r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Multiply the \"45\" equation by 2:
\n" ); document.write( " $\"system%28w%2B2r=40%2Cw%2B5r=90%29\"$ \r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " $\"E2-E1\"$
\n" ); document.write( " $\"3r=50\"$
\n" ); document.write( " $\"r=50%2F3\"$
\n" ); document.write( " $\"highlight%28r=16%262%2F3%29\"$ \r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " $\"w=40-2r\"$
\n" ); document.write( " $\"w=40-2%2816%262%2F3%29\"$
\n" ); document.write( " $\"40-32%264%2F3\"$
\n" ); document.write( " $\"40-33%261%2F3\"$
\n" ); document.write( " $\"highlight%28w=6%262%2F3%29\"$ \n" ); document.write( "

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