document.write( "Question 156968: Solve the problem. Frank can type a report in 3 hours and James takes 4 hours. How long will it take the two of them typing together? \n" ); document.write( "

Algebra.Com's Answer #115738 by midwood_trail(310) $\"\"$ $\"About$

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Solve the problem. Frank can type a report in 3 hours and James takes 4 hours. How long will it take the two of them typing together?\r
\n" ); document.write( "\n" ); document.write( "Let's make a table.\r
\n" ); document.write( "\n" ); document.write( "..........Rate of work.......Time worked.......Fractional Rate of Job Done\r
\n" ); document.write( "\n" ); document.write( "Frank.........1/3................x......................x/3\r
\n" ); document.write( "\n" ); document.write( "James.........1/4................x......................x/4\r
\n" ); document.write( "\n" ); document.write( "The number 1 will indicate the work they do together in the equation below.\r
\n" ); document.write( "\n" ); document.write( "x/3 + x/4 = 1\r
\n" ); document.write( "\n" ); document.write( "Solve for x.\r
\n" ); document.write( "\n" ); document.write( "Our LCD is 12.\r
\n" ); document.write( "\n" ); document.write( "Multiply 12 by every term on both sides of the equation.\r
\n" ); document.write( "\n" ); document.write( "Doing so, we now have this:\r
\n" ); document.write( "\n" ); document.write( "4x + 3x = 12\r
\n" ); document.write( "\n" ); document.write( "7x = 12\r
\n" ); document.write( "\n" ); document.write( "x = 12/7\r
\n" ); document.write( "\n" ); document.write( "The fraction 12/7 is about 1 hour and 70 minutes.\r
\n" ); document.write( "\n" ); document.write( "That's how long it will take both guys to do the job together.\r
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