document.write( "Question 1198854: Quiboy can clean the barn in 6 hours, and Quiboy and Rod together can clean the same barn in 3 hours. How long would it take for Rod to clean the barn by himself? \n" ); document.write( "

Algebra.Com's Answer #832529 by greenestamps(13206) $\"\"$ $\"About$

You can put this solution on YOUR website!

\n" ); document.write( "Tutor @ikleyn has provided a typical formal algebraic solution.

\n" ); document.write( "Without algebra, it might make sense to you that, since the two together take half as much time as Quiboy alone, it would also take Rod the same 6 hours to do the job alone.

\n" ); document.write( "If it is hard for you to see that solution using logical reasoning, here is another method for solving the problem.

\n" ); document.write( "In 6 hours, Quiboy can do the job alone.

\n" ); document.write( "In those same 6 hours, the two of them together could do the job twice, because it takes them 3 hours to do the job once.

\n" ); document.write( "So in 6 hours Quiboy could do the job 1 time, while in 6 hours the two together could do the job twice; that means in those same 6 hours Rod could do the job once.

\n" ); document.write( "ANSWER: Rod alone would take 6 hours to clean the barn alone.

\n" ); document.write( " \n" ); document.write( "

\n" );