document.write( "Question 58959This question is from textbook UOP Elementary and Intermediate Algebra
\n" ); document.write( ": (36) Ride the peaks. Smith bicycled 45 miles going from Durango, and Jones bicycled 70 miles. Jones averaged 5 miles per hour more than Smith, and his trip took one-half hour longer thank Smith’s. How fast was each one traveling? \n" ); document.write( "

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If Smith's speed is x then Jones speed is x+5.
\n" ); document.write( "The time taken by Smith is 45/x and the time taken by Jones is 70/(x+5). Jones time is 0.5 hour long than Smith so
\n" ); document.write( " $\"45%2Fx%2B0.5=70%2F%28x%2B5%29\"$
\n" ); document.write( "Multiply through by x to get
\n" ); document.write( " $\"45%2B0.5x=70x%2F%28x%2B5%29\"$
\n" ); document.write( "Multiply through by (x+5)
\n" ); document.write( " $\"45%28x%2B5%29%2B0.5x%28x%2B5%29=70x\"$
\n" ); document.write( " $\"45x%2B225%2B0.5x%5E2%2B2.5x=70x\"$
\n" ); document.write( " $\"0.5x%5E2%2B47.5x%2B225=70x\"$
\n" ); document.write( " $\"0.5x%5E2-22.5x%2B225=0\"$
\n" ); document.write( " $\"x%5E2-45x%2B450=0\"$
\n" ); document.write( " $\"%28x-15%29%28x-30%29=0\"$
\n" ); document.write( "So Smith's speed is either 15 miles per hour or 30 miles per hour. Jones speed will therefore be 20 miles per hour or 35 miles per hour.
\n" ); document.write( "At the slower speed Smith takes 3.0 hours and Jones takes 3.5 hours while at the faster speed Smith takes 1.5 hours and Jones takes 2.0 hours. \n" ); document.write( "

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