document.write( "Question 915560: A tour bus leaves Sacramento every Friday evening at 5:00 P.M. for a 264-mile trip to Las Vegas. This week, however, the bus leaves at 5:15 P.M. To arrive in Las Vegas on time, the driver drives 8 miles per hour faster than usual. What is the bus's usual speed? \n" ); document.write( "
Algebra.Com's Answer #555666 by lwsshak3(11628)![]() ![]() ![]() You can put this solution on YOUR website! A tour bus leaves Sacramento every Friday evening at 5:00 P.M. for a 264-mile trip to Las Vegas. This week, however, the bus leaves at 5:15 P.M. To arrive in Las Vegas on time, the driver drives 8 miles per hour faster than usual. What is the bus's usual speed? \n" ); document.write( "*** \n" ); document.write( "let x=bus's usual speed \n" ); document.write( "x+8=bus's faster speed \n" ); document.write( "15 min=1/4 hr \n" ); document.write( "travel time=distance/speed \n" ); document.write( ".. \n" ); document.write( " \n" ); document.write( "lcd:x(x+8) \n" ); document.write( "264(x+8)-264x=x(x+8)/4 \n" ); document.write( "264x+2112-264x=(x^2+8x)/4 \n" ); document.write( "8448=x^2+8x \n" ); document.write( "x^2+8x-8448=0 \n" ); document.write( "solve for x by quadratic formula: \n" ); document.write( " \n" ); document.write( "a=1, b=8, c=-8448 \n" ); document.write( "ans: \n" ); document.write( "x=-96 (reject) \n" ); document.write( "or \n" ); document.write( "x=88 \n" ); document.write( "bus's usual speed=88 mph \r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |