document.write( "Question 481055: By increasing his average speed by 10 mi/hr, a motorist could save 36 minutes in traveling a distance of 120 miles. Find her actual average speed. \n" ); document.write( "
Algebra.Com's Answer #329415 by jorel1380(3719) You can put this solution on YOUR website! 120/p=120/(p+10)+36/60 \n" ); document.write( "120/p=120/(p+10)+.6 \n" ); document.write( "1200/p=1200/(p+10)+6 \n" ); document.write( "1200(p+10)=1200p+6p2+60p \n" ); document.write( "1200p+12000=1200p+6p2+60p \n" ); document.write( "6p2+60p-12000=0 \n" ); document.write( "p2+10p-2000=0 \n" ); document.write( "(p+50)(p-40)=0 \n" ); document.write( "p=40 or -50 \n" ); document.write( "Throwing out the negative answer, we get the motorist's actual average speed to be 40 mph.. \n" ); document.write( " |