document.write( "Question 545052: You need to pick up your older sister from college which is 436 miles away. She is able to get a ride part way home. You agree to meet her at a point where both of you travel 4 hours, but you are a faster driver and are going 15 mph faster than her ride. How fast are each of you driving? \n" ); document.write( "

Algebra.Com's Answer #355411 by josmiceli(19441) $\"\"$ $\"About$

You can put this solution on YOUR website!
Let the distance your sister travels = $\"d\"$
\n" ); document.write( "Let her speed = s
\n" ); document.write( "Your distance is $\"+436+-+d+\"$
\n" ); document.write( "------------------------
\n" ); document.write( "Sister's equation:
\n" ); document.write( "(1) $\"+d+=+4s+\"$
\n" ); document.write( "Your equation:
\n" ); document.write( "(2) $\"+436+-+d+=+4%2A%28+s+%2B+15+%29+\"$
\n" ); document.write( "-------------------------
\n" ); document.write( "(2) $\"+436+-+d+=+4s+%2B+60+\"$
\n" ); document.write( "Substitute (1) into (2)
\n" ); document.write( "(2) $\"+436+-+4s+=+4s+%2B+60+\"$
\n" ); document.write( "(2) $\"+8s+=+436+-+60+\"$
\n" ); document.write( "(2) $\"+8s+=+376+\"$
\n" ); document.write( "(2) $\"+s+=+47+\"$
\n" ); document.write( "your speed is
\n" ); document.write( " $\"+s+%2B+15+=+47+%2B+15+\"$
\n" ); document.write( " $\"+s+%2B+15+=+62+\"$
\n" ); document.write( "Your speed is 62 mi/hr
\n" ); document.write( "check:
\n" ); document.write( "(2) $\"+436+-+d+=+4%2A%28+s+%2B+15+%29+\"$
\n" ); document.write( "(2) $\"+436+-+d+=+4%2A%28+47+%2B+15+%29+\"$
\n" ); document.write( "(2) $\"+d+=+436+-+4%2A62+\"$
\n" ); document.write( "(2) $\"+d+=+436+-+248+\"$
\n" ); document.write( "(2) $\"+d+=+188+\"$
\n" ); document.write( "and
\n" ); document.write( "(1) $\"+d+=+4s+\"$
\n" ); document.write( "(1) $\"+d+=+4%2A47+\"$
\n" ); document.write( "(1) $\"+d+=+188+\"$
\n" ); document.write( "OK \n" ); document.write( "

\n" );