document.write( "Question 697595: if a man walks for 20 minutes and then drives in his car for an hour and a half he goes a total distance of 46 miles. If he walks for 40 minutes and then drives for one hour and ten minutes, the speeds of walking and driving being the same as before, he travels 37 miles. Find his rates of walking and driving. \n" ); document.write( "

Algebra.Com's Answer #430140 by josmiceli(19441) $\"\"$ $\"About$

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Let $\"+w+\"$ = his speed walking
\n" ); document.write( "Let $\"+d+\"$ = his speed driving
\n" ); document.write( "given:
\n" ); document.write( "(1) $\"+w%2A%2820%2F60%29+%2B+d%2A90%2F60+=+46+\"$ miles
\n" ); document.write( "(2) $\"+w%2A%2840%2F60%29+%2B+d%2A%28+70%2F60%29+=+37+\"$ miles
\n" ); document.write( "------------
\n" ); document.write( "(1) $\"+20w+%2B+90d+=+2760+\"$
\n" ); document.write( "(1) $\"+2w+%2B+9d+=+276+\"$
\n" ); document.write( "and
\n" ); document.write( "(2) $\"+40w+%2B+70d+=+2220+\"$
\n" ); document.write( "(2) $\"+4w+%2B+7d+=+222+\"$
\n" ); document.write( "---------------------
\n" ); document.write( "Multiply both sides of (1) by $\"+2+\"$
\n" ); document.write( "and subtract (2) from (1)
\n" ); document.write( "(1) $\"+4w+%2B+18d+=+552+\"$
\n" ); document.write( "(2) $\"+-4w+-+7d+=+-222+\"$
\n" ); document.write( " $\"+11d+=+330+\"$
\n" ); document.write( " $\"+d+=+30+\"$
\n" ); document.write( "and, since
\n" ); document.write( "(1) $\"+2w+%2B+9d+=+276+\"$
\n" ); document.write( "(1) $\"+2w+%2B+270+=+276+\"$
\n" ); document.write( "(1) $\"+2w+=+6+\"$
\n" ); document.write( "(1) $\"+w+=+3+\"$
\n" ); document.write( "He walks 3 mi/hr and
\n" ); document.write( "drives 30 mi/hr\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

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