document.write( "Question 1138502: Two teachers are grading math homework. One teacher can grade a stack of papers in 50 minutes and the other can complete the job in 100 minutes. How long does it take them to grade all the papers if the first teacher grades alone for 23 minutes, then they work together to finish? \n" ); document.write( "
Algebra.Com's Answer #756306 by josgarithmetic(39621)\"\" \"About 
You can put this solution on YOUR website!
\"one teacher\", same as \"first teacher\", \"1%2F50\" stack per minutes
\n" ); document.write( "Other teacher, \"1%2F100\" stack per minutes\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "First teacher works for 23 minutes and then both teachers work together for x minutes, in order to grade 1 stack of papers.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"%281%2F50%29%2A23%2B%281%2F50%2B1%2F100%29%2Ax=1\"
\n" ); document.write( "Simplify and solve for x.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "-\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"23%2F50%2B%282%2F100%2B1%2F100%29x=1\"\r
\n" ); document.write( "\n" ); document.write( "\"46%2F100%2B3x%2F100=1\"\r
\n" ); document.write( "\n" ); document.write( "\"46%2B3x=100\"\r
\n" ); document.write( "\n" ); document.write( "\"3x=54\"\r
\n" ); document.write( "\n" ); document.write( "\"highlight%28x=18%29\"
\n" ); document.write( "The two work together for 18 minutes.
\n" ); document.write( "Total time doing the grading was 23+18=41 minutes.
\n" ); document.write( "
\n" );