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)\"\" \"About 
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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?
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\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( "\"264%2Fx-264%2F%28x%2B8%29=1%2F4\"
\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( "\"x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+\"
\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
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