document.write( "Question 864629: If a teacher can finish a test 3 times faster than a student that finishes it in 40 minutes how would you write an equation to determine how many minutes it would take for both teacher and student to finish the test if working together? Would equation be 1/x +1/3x=1? \n" ); document.write( "

Algebra.Com's Answer #521149 by josmiceli(19441) $\"\"$ $\"About$

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The student's rate is:
\n" ); document.write( "( 1 test finished ) / ( 40 min )
\n" ); document.write( "The teacher's rate is:
\n" ); document.write( "( 1 test finished ) / ( 40/3 min )
\n" ); document.write( "---------------------------
\n" ); document.write( "Let $\"+t+\"$ = time in minutes to finish test
\n" ); document.write( "with both working on it together
\n" ); document.write( "Their rate working together:
\n" ); document.write( "( 1 test finished ) / ( t min )
\n" ); document.write( "-------------------------
\n" ); document.write( "Add their rates to get rate working together
\n" ); document.write( " $\"+1%2F40+%2B+3%2F40+=+1%2Ft+\"$
\n" ); document.write( "Then you would multiply both sides by $\"+40t+\"$
\n" ); document.write( " $\"+t+%2B+3t+=+40+\"$
\n" ); document.write( " $\"+4t+=+40+\"$
\n" ); document.write( " $\"+t+=+10+\"$ min\r
\n" ); document.write( "\n" ); document.write( "
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