document.write( "Question 327363: A painter can paint a building in 4 days and his appretice can do it in 6 days.
\n" ); document.write( "How long will it take them to paint this building if they work together on it except for 1 day when the painter is ill and the apprentice work alone.?
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Algebra.Com's Answer #234496 by ganeshindia(11)\"\" \"About 
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Let the amount of total work be 1.
\n" ); document.write( "The work done by the painter in one day = 1/4 of the total work.
\n" ); document.write( "The work done by the apprentice in one day = 1/6 of the total work.
\n" ); document.write( "The work done by the two people together in one day = 1/4 + 1/6 = 5/12 of the total work.
\n" ); document.write( "1/6 of the total work is done by the apprentice alone for one day.
\n" ); document.write( "The remaining 5/6 of the total work is done by the painter and apprentice together for x days.
\n" ); document.write( "Therefore x = amount of work / work done in one day = (5/6)/(5/12) = 2 days.\r
\n" ); document.write( "\n" ); document.write( "Therefore, number of days taken to complete the work = 2 + 1 = 3 days.
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