document.write( "Question 419350: Jonathan can type a 20 page document in 40 minutes, susan can type it in 30 minutes, and Jack can type it in 24 minutes. Working together, how much time will it take them to type the same document? \n" ); document.write( "

Algebra.Com's Answer #293291 by josmiceli(19441) $\"\"$ $\"About$

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Add their rates of typing
\n" ); document.write( " $\"1%2F40\"$ is Jonathan's rate ( 1 document/40 min)
\n" ); document.write( " $\"1%2F30\"$ is Susan's rate (1 document/30 min)
\n" ); document.write( " $\"1%2F24\"$ is Jack's rate (1 document/24 min)
\n" ); document.write( "------------------------------------
\n" ); document.write( "Let $\"t\"$ = the time in minutes with all 3 working together
\n" ); document.write( " $\"1%2F40+%2B+1%2F30+%2B+1%2F24+=+1%2Ft\"$
\n" ); document.write( "Multiply both sides by $\"2\"$
\n" ); document.write( " $\"+1%2F20+%2B+1%2F15+%2B+1%2F12+=+2%2Ft+\"$
\n" ); document.write( "Multiply both sides by $\"60t\"$
\n" ); document.write( " $\"3t+%2B+4t+%2B+5t+=+120\"$
\n" ); document.write( " $\"+12t+=+120+\"$
\n" ); document.write( " $\"+t+=+10+\"$
\n" ); document.write( "It will take them 10 min working together \n" ); document.write( "

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