document.write( "Question 813821: A,B, and C could finish a job alone in 5 hours. The three started together at 8AM but B rested at 9AM and resumed working at 9:30 AM. At what time they will finish the work? \n" ); document.write( "

Algebra.Com's Answer #490070 by ankor@dixie-net.com(22740) $\"\"$ $\"About$

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A,B, or C could finish a job alone in 5 hours.
\n" ); document.write( " The three started together at 8AM but B rested at 9AM and resumed working at 9:30 AM.
\n" ); document.write( " At what time they will finish the work?
\n" ); document.write( ":
\n" ); document.write( "let t = working time of A & C
\n" ); document.write( "then
\n" ); document.write( "(t-.5) = working time of b
\n" ); document.write( "let the completed job = 1
\n" ); document.write( ":
\n" ); document.write( " $\"t%2F5\"$ + $\"%28%28t-.5%29%29%2F5\"$ + $\"t%2F5\"$ = 1
\n" ); document.write( "multiply by 5
\n" ); document.write( "t + (t-.5) + t = 5
\n" ); document.write( "3t = 5 + .5
\n" ); document.write( "t = 5.5/3
\n" ); document.write( "t = 1.83 hrs or 1 + .83(60) = 1 hr 50 minutes
\n" ); document.write( ":
\n" ); document.write( "8:00 + 1:50 = 9:50 AM to finish the work \n" ); document.write( "

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