document.write( "Question 36881This question is from textbook Algebra and trigonometry
\n" ); document.write( ": Amy walks 1 mph faster than her friend Lisa. In a walk for charity, both walked the full distance of 24 miles. Lisa took 2 hours longer than Amy. What was Lisa's average speed \n" ); document.write( "
Algebra.Com's Answer #22660 by stanbon(75887)\"\" \"About 
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Amy walks 1 mph faster than her friend Lisa. In a walk for charity, both walked the full distance of 24 miles. Lisa took 2 hours longer than Amy. What was Lisa's average speed\r
\n" ); document.write( "\n" ); document.write( "Amy Data:
\n" ); document.write( "distance=24 miles; rate=x+1 mph; time= 24/(x+1) hrs
\n" ); document.write( "Lisa Data:
\n" ); document.write( "distance=24 miles; rate=x mph; time= 24/x hrs
\n" ); document.write( "EQUATION:
\n" ); document.write( "Lisa time - 2 hrs = Amy time
\n" ); document.write( "24/x -2 = 24/(x+1)
\n" ); document.write( "Multiply thru by x(x+1) to get:
\n" ); document.write( "24(x+1) - 2x(x+1) = 24(x)
\n" ); document.write( "12(x+1)-x(x+1)=12x
\n" ); document.write( "12x+12-x^2-x=12x
\n" ); document.write( "12-x^2-x=0
\n" ); document.write( "x^2+x-12=0
\n" ); document.write( "(x+4)(x-3)=0
\n" ); document.write( "x=3; the other value of x is negative.
\n" ); document.write( "LIsa's average speed was (x+1)= 4mph
\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
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