document.write( "Question 404894: It takes joan 3 times longer than jane to file reports. together they can do it in 12 minutes. How long would it take each woman to file the reports alone? \n" ); document.write( "

Algebra.Com's Answer #286127 by Tatiana_Stebko(1539) $\"\"$ $\"About$

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If Jane do all work alone in x minutes, then in 1 minute she can do $\"1%2Fx\"$ part of work
\n" ); document.write( "It takes Joan 3 times longer than Jane to file reports, so Joan can do all work alone in $\"3x\"$ minutes, then in 1 minute she can do $\"1%2F%283x%29\"$ part of work
\n" ); document.write( "If they work together 12 minutes, then Jane does $\"12%2Fx\"$ part of work, Joan does $\"12%2F%283x%29=4%2Fx\"$ part of work. In 12 minutes they did all work, all work is 1.
\n" ); document.write( "Equation
\n" ); document.write( " $\"12%2Fx%2B4%2Fx=1\"$ Multiply both sides by x
\n" ); document.write( " $\"12%2B4=x\"$
\n" ); document.write( " $\"x=16\"$
\n" ); document.write( "So Jane needs 16 minutes for all work, Joan needs $\"3%2A16=48\"$ minutes \n" ); document.write( "

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