document.write( "Question 1031959: To travel 60 miles, it takes Sue, riding a moped, 2 hours8
\n" ); document.write( "less time than it takes Doreen to travel 50 miles riding a
\n" ); document.write( "bicycle. Sue travels 10 miles per hour faster than Doreen.
\n" ); document.write( "Find the times and rates of both girls. \n" ); document.write( "

Algebra.Com's Answer #646658 by josmiceli(19441) $\"\"$ $\"About$

You can put this solution on YOUR website!
Let $\"+s+\"$ = Doreen's speed in mi/hr
\n" ); document.write( " $\"+s+%2B+10+\"$ = Sue's speed in mi/hr
\n" ); document.write( "Let $\"+t+\"$ = Doreen's time in hrs to travel 50 mi
\n" ); document.write( "riding bicycle
\n" ); document.write( " $\"+t+-+2+\"$ = Sue's time in hrs to travel 60 mi
\n" ); document.write( "------------------------
\n" ); document.write( "Equation for Doreen:
\n" ); document.write( "(1) $\"+50+=+s%2At+\"$
\n" ); document.write( "Equation for Sue:
\n" ); document.write( "(2) $\"+60+=+%28+s%2B10+%29%2A%28+t+-+2+%29+\"$
\n" ); document.write( "---------------------------
\n" ); document.write( "(1) $\"+s+=+50%2Ft+\"$
\n" ); document.write( "Plug this into (2)
\n" ); document.write( "(2) $\"+60+=+%28+50%2Ft+%2B10+%29%2A%28+t+-+2+%29+\"$
\n" ); document.write( "(2) $\"+60+=+50+%2B+10t+-+100%2Ft+-+20+\"$
\n" ); document.write( "(2) $\"+30+=+10t+-+100%2Ft+\"$
\n" ); document.write( "(2) $\"+30t+=+10t%5E2+-+100+\"$
\n" ); document.write( "(2) $\"+10t%5E2+-+30t+-+100+=+0+\"$
\n" ); document.write( "(2) $\"+t%5E2+-+3t+-+10+=+0+\"$
\n" ); document.write( "(2) $\"+%28+t+-+5+%29%2A%28+t+%2B+2+%29+=+0+\"$ ( by looking at it )
\n" ); document.write( " $\"+t+=+5+\"$ ( time must be positive )
\n" ); document.write( "and
\n" ); document.write( " $\"+t+-+2+=+3+\"$
\n" ); document.write( "---------------
\n" ); document.write( "(1) $\"+50+=+s%2A5+\"$
\n" ); document.write( "(1) $\"+s+=+50%2F5+\"$
\n" ); document.write( "(1) $\"+s+=+10+\"$
\n" ); document.write( "and
\n" ); document.write( " $\"+s%2B+10+=+20+\"$
\n" ); document.write( "------------------
\n" ); document.write( "Doreen's speed = 10 mi/hr
\n" ); document.write( "Doreen's time = 5 hrs
\n" ); document.write( "Sue's speed = 20 mi/hr
\n" ); document.write( "Sue's time = 3 hrs
\n" ); document.write( "------------------------
\n" ); document.write( "check answers:
\n" ); document.write( "(1) $\"+50+=+s%2At+\"$
\n" ); document.write( "(1) $\"+50+=+10%2A5+\"$
\n" ); document.write( "(1) $\"+50+=+50+\"$
\n" ); document.write( "and
\n" ); document.write( "(2) $\"+60+=+%28+s%2B10+%29%2A%28+t+-+2+%29+\"$
\n" ); document.write( "(2) $\"+60+=+20%2A3+\"$
\n" ); document.write( "(2) $\"+60+=+60+\"$
\n" ); document.write( "OK \n" ); document.write( "

\n" );