document.write( "Question 412926: A snowstorm causes a bus driver to decrease the usual average rate along a 60-mile route by 15 miles per hour. As a result, the bus takes two hours longer than usual to complete the route. At what average rate does the bus usually cover the 60-mile route?\r
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document.write( "My book says that the Answer is 30mph. I suspect the problem has to do with Time = Distance / Rate, but am unsure how to set up the problem properly. Please help! \n" );
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Algebra.Com's Answer #289935 by mananth(16946)![]() ![]() You can put this solution on YOUR website! let usual speed be x mph \n" ); document.write( "time with decreased speed - time with usual speed = 2\r \n" ); document.write( "\n" ); document.write( "60/(x-15) - 60/x =2\r \n" ); document.write( "\n" ); document.write( "LCD = x(x-15)\r \n" ); document.write( "\n" ); document.write( "multiply by the LCD \n" ); document.write( "60x-60(x-15)= 2x(x-15) \n" ); document.write( "60x-60x+900=2x^2-30x \n" ); document.write( "2x^2-30x-900=0 \n" ); document.write( "/2 \n" ); document.write( "x^2-15x-450=0 \n" ); document.write( "x^2-30x+15x-450=0 \n" ); document.write( "x(x-30)+15(x-30)=0 \n" ); document.write( "(x-30)(x+15)=0 \n" ); document.write( "x= 30 mph the original speed \n" ); document.write( " |