document.write( "Question 327363: A painter can paint a building in 4 days and his appretice can do it in 6 days.
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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.? \n" );
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Algebra.Com's Answer #234496 by ganeshindia(11)![]() ![]() ![]() You can put this solution on YOUR website! 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. \n" ); document.write( " |