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

Algebra.Com's Answer #234497 by AAfter Search(61) $\"\"$ $\"About$

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In 4 days the painter completes the whole work W.
\n" ); document.write( "In 1 day the painter completes 1/4 work.
\n" ); document.write( "In 1 day the apprentice completes 1/6 work.
\n" ); document.write( "Let the number of days taken to complete the work by them be n days.
\n" ); document.write( "Hence nW/6 + (n - 1)W/4 = W
\n" ); document.write( "=> n/6 + (n - 1)/4 = 1
\n" ); document.write( "=> 2n + 3n - 3 = 12
\n" ); document.write( "=> 5n = 15
\n" ); document.write( "=> n = 3
\n" ); document.write( "Hence the work is completed in 3 days. \n" ); document.write( "

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