document.write( "Question 903271: car travels a total of 275 miles in 4 hours, traveling part of the time at 60 mph and part of the time at 74 miles per hour. how long did the car travel at each speed? \n" ); document.write( "
Algebra.Com's Answer #548741 by richwmiller(17219)![]() ![]() You can put this solution on YOUR website! a+b=4, \n" ); document.write( "60*a+74*b=275 \n" ); document.write( "a=4-b \n" ); document.write( "60*(4-b)+74*b=275 \n" ); document.write( "240-60b+74*b=275 \n" ); document.write( "14*b=35 \n" ); document.write( "b=2.5 \n" ); document.write( "a=4-b \n" ); document.write( "a=1.5 hours at 60 mph and b=2.5 hours at 74 mph \n" ); document.write( "check \n" ); document.write( "1.5+2.5=4 \n" ); document.write( "60*a+74*b=275 \n" ); document.write( "60*1.5+74*2.5=275 \n" ); document.write( "90.0+185.0=275 \n" ); document.write( "275.0=275 \n" ); document.write( "ok \n" ); document.write( " \n" ); document.write( " |