document.write( "Question 800881: Under pressure to make a deadline, an office manager directs her fastest typist to type a document that should take 40 mins. After 15 mins, she realizes the typist won't make the deadline and she asks a second, slower typist to start typing some of the pages. Fifteen minutes later the document is finished. How long would it have taken the slower typist to type the document? \n" ); document.write( "

Algebra.Com's Answer #483326 by stanbon(75887) $\"\"$ $\"About$

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Under pressure to make a deadline, an office manager directs her fastest typist to type a document that should take 40 mins. After 15 mins, she realizes the typist won't make the deadline and she asks a second, slower typist to start typing some of the pages. Fifteen minutes later the document is finished. How long would it have taken the slower typist to type the document?
\n" ); document.write( "-------
\n" ); document.write( "1st typist does 15/40 = 3/8 of the job.
\n" ); document.write( "------
\n" ); document.write( "2nd typist DATA:
\n" ); document.write( "time = 15 min for 5/8 job
\n" ); document.write( "------
\n" ); document.write( "Let rate be \"x\"
\n" ); document.write( "job/rate = time
\n" ); document.write( "-----
\n" ); document.write( "(5/8)/x = 15 min
\n" ); document.write( "x = (5/8)/15
\n" ); document.write( "x = 1/24 job/min
\n" ); document.write( "=====
\n" ); document.write( "2nd typist time 24 min/job
\n" ); document.write( "----------------------------
\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H. \n" ); document.write( "

\n" );