document.write( "Question 73833: A cyclist traveled at a rate of 24 mph to visit a nearby town. the cyclist averaged 18 mph on the return trip. if the round trip took 4.9 hours, find the distance to the nearby town. \n" ); document.write( "
Algebra.Com's Answer #52795 by checkley75(3666)![]() ![]() ![]() You can put this solution on YOUR website! DISTANCE= RATE*TIME THUS DISTANCE/RATE=TIME OR D/R1+D/R2=TOTAL TIME. \n" ); document.write( "THE DISTANCE BEING THE ONE UNKNOWN (X). \n" ); document.write( "X/24+X/18=4.9 \n" ); document.write( "(3X+4X)/72=4.9 CROSS MULTIPLY \n" ); document.write( "3X+4X=72*4.9 \n" ); document.write( "7X=352.8 \n" ); document.write( "X=352.8/7 \n" ); document.write( "X=50.4 MILES IS THE DISTANCE TO THE NEARBY TOWN. \n" ); document.write( "PROOF \n" ); document.write( "50.4/24+50.4/18=4.9 \n" ); document.write( "2.1+2.8=4.9 \n" ); document.write( "4.9=4.9\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |