document.write( "Question 519968: A bicycle trip of 90 miles would have taken an hour less if the average speed had been increased by 3 mi/h. Find the average speed of the bicycle. \n" ); document.write( "
Algebra.Com's Answer #345878 by mananth(16949)\"\" \"About 
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let speed be x\r
\n" ); document.write( "\n" ); document.write( "t=d/r\r
\n" ); document.write( "\n" ); document.write( "time with original speed - time with increased speed = 1
\n" ); document.write( "90/x-90/(x+3)=1
\n" ); document.write( "LCD=x(x+3)
\n" ); document.write( "multiply by LCD
\n" ); document.write( "90(x+3)-90x=x(x+3)
\n" ); document.write( "90x+270-90x=x^2+3x\r
\n" ); document.write( "\n" ); document.write( "x^2+3x-270=0
\n" ); document.write( "x^2+18x-15x-270=0
\n" ); document.write( "x(x+18)-15(x+18)=0
\n" ); document.write( "(x+18)(x-15)=0
\n" ); document.write( "x=15 ignoring negative value\r
\n" ); document.write( "\n" ); document.write( "speed = 15 mph\r
\n" ); document.write( "\n" ); document.write( "m.ananth@hotmail.ca
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