document.write( "Question 739658: On Monday John walks for 2 hours, jogs for 1 hour, and covers a total of 22 km. On Tuesday he walks for 1 hour, jogs for 2 hours, and covers a total of 23 km. What are his rate walking and his rate jogging? \n" ); document.write( "

Algebra.Com's Answer #451272 by josmiceli(19441) $\"\"$ $\"About$

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Let $\"+j+\"$ = his rate jogging in km/hr
\n" ); document.write( "Let $\"+w+\"$ = his rate walking in km/hr
\n" ); document.write( "-------------------------
\n" ); document.write( "(1) $\"+2w+%2B+1%2Aj+=+22+\"$ km
\n" ); document.write( "(2) $\"+1%2Aw+%2B+2%2Aj+=+23+\"$ km
\n" ); document.write( "-----------------------
\n" ); document.write( "Multiply (1) by $\"+2+\"$ and subtract
\n" ); document.write( "(2) from (1)
\n" ); document.write( "(1) $\"+4w+%2B+2j+=+44+\"$
\n" ); document.write( "(2) $\"+-w+-+2j+=+-23+\"$
\n" ); document.write( " $\"+3w+=+21+\"$
\n" ); document.write( " $\"+w+=+7+\"$
\n" ); document.write( "and
\n" ); document.write( "(1) $\"+2%2A7+%2B+1%2Aj+=+22+\"$
\n" ); document.write( "(1) $\"+14+%2B+j+=+22+\"$
\n" ); document.write( "(1) $\"+j+=+8+\"$
\n" ); document.write( "His rate jogging is 8 km/hr
\n" ); document.write( "His rate walking is 7 km/hr
\n" ); document.write( "check:
\n" ); document.write( "(1) $\"+2w+%2B+1%2Aj+=+22+\"$ km
\n" ); document.write( "(1) $\"+2%2A7+%2B+1%2A8+=+22+\"$
\n" ); document.write( "(1) $\"+14+%2B+8+=+22+\"$
\n" ); document.write( "(1) $\"+22+=+22+\"$
\n" ); document.write( "and
\n" ); document.write( "(2) $\"+1%2Aw+%2B+2%2Aj+=+23+\"$ km
\n" ); document.write( "(2) $\"+1%2A7+%2B+2%2A8+=+23+\"$
\n" ); document.write( "(2) $\"+7+%2B+16+=+23+\"$
\n" ); document.write( "(2) $\"+23+=+23+\"$
\n" ); document.write( "OK
\n" ); document.write( " \n" ); document.write( "

\n" );