document.write( "Question 47056: A new machine takes one-third the time to complete a certain job that an old machine does. Working together they can complete the job in 8 minutes. How long would it take the old machine to complete the job if it were working alone? \n" ); document.write( "

Algebra.Com's Answer #31166 by Paul(988) $\"\"$ $\"About$

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New machine = 1x/3
\n" ); document.write( "Old machine = x
\n" ); document.write( "Together = 8
\n" ); document.write( "EQUATION:
\n" ); document.write( " $\"1%2F%28x%2F3%29%2B1%2Fx=1%2F8\"$
\n" ); document.write( " $\"3%2Fx%2B1%2Fx=1%2F8\"$
\n" ); document.write( " $\"3x%2Bx=%28%28x%29%28x%29%29%2F8\"$
\n" ); document.write( " $\"4x=x%5E2%2F8\"$
\n" ); document.write( " $\"32x=x%5E2\"$
\n" ); document.write( " $\"x%5E2-32x=0\"$
\n" ); document.write( "x=0 or x=32
\n" ); document.write( "Hence, it would take 32 minutes.
\n" ); document.write( "Paul. \n" ); document.write( "

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