document.write( "Question 50777: A motorist drove 150 miles on country roads before driving on mountain roads. The rate of speed on the country roads was three times the rate on the mountain roads. The total time spent traveling the 200 miles was five hours. Find the rate of the motorist on the country roads. \n" ); document.write( "

Algebra.Com's Answer #33814 by Paul(988) $\"\"$ $\"About$

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Let the speed on the country road be 3x
\n" ); document.write( "x = mountain speed
\n" ); document.write( "50 miles were driven on mountain road
\n" ); document.write( "EQUATION:
\n" ); document.write( " $\"150%2F3x%2B50%2Fx=5\"$
\n" ); document.write( " $\"150x%2B50%283x%29=5%28%283x%29%28x%29%29\"$
\n" ); document.write( " $\"300x=15x%5E2\"$
\n" ); document.write( " $\"x%5E2-20x=0\"$
\n" ); document.write( "x=0 or x=20
\n" ); document.write( "20(3)=60
\n" ); document.write( "Hence, the speed on the country road was 60mph.
\n" ); document.write( "Paul. \n" ); document.write( "

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