document.write( "Question 775353: Ram can do a piece of work in 8 days while shyam alone can do in 12 days. Ram starts doing the work and they work at it alternately for a day. In how many days will the work be finished? \n" ); document.write( "

Algebra.Com's Answer #472793 by Edwin McCravy(20060) $\"\"$ $\"About$

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document.write( "Each day Ram works he does 1/8 of the piece of work\r\n" );
document.write( "Each day Shyam works she does 1/12 of the piece of work.\r\n" );
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document.write( "Get common denominator:\r\n" );
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document.write( "1/8 = 3/24\r\n" );
document.write( "1/12 = 2/24\r\n" );
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document.write( "Day 1:  3/24 of work is done.\r\n" );
document.write( "Day 2:  3/24 + 2/24 = 5/24 of work is done.\r\n" );
document.write( "Day 3:  5/24 + 3/24 = 8/24 of work is done\r\n" );
document.write( "Day 4:  8/24 + 2/24 = 10/24 = 5/12 of work is done \r\n" );
document.write( "Day 5:  10/24 + 3/24 = 13/24 of work is done\r\n" );
document.write( "Day 6:  13/24 + 2/24 = 15/24 = 5/8 of work is done\r\n" );
document.write( "Day 7:  15/24 + 3/24 = 18/24 = 3/4 of work is done\r\n" );
document.write( "Day 8:  18/24 + 2/24 = 20/24 = 5/6 of work is done\r\n" );
document.write( "Day 9:  20/24 + 3/24 = 23/24 of work is done\r\n" );
document.write( "Day 10: Since there is only 1/24 of the work left to do,\r\n" );
document.write( "Shyam only works half a day.\r\n" );
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document.write( "Answer: Ram works on days 1,3,5,7,9 or  5 full days \r\n" );
document.write( "        Shyam works on days 2,4,6,8, and half a day on \r\n" );
document.write( "        day 10, or  days\r\n" );
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document.write( "        5 +  =  days. \r\n" );
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document.write( "Edwin

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