document.write( "Question 875164: A does 80% of a work in 20 days. He then calls in B and together they finish the remaining work in 3 days. How long B alone would take to do the whole work. \n" ); document.write( "
Algebra.Com's Answer #527996 by dkppathak(439)\"\" \"About 
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A does 80% of a work in 20 days. He then calls in B and together they finish the remaining work in 3 days. How long B alone would take to do the whole work.
\n" ); document.write( "A completed 80% work in 20 days
\n" ); document.write( "A can complete the full work in 25 days
\n" ); document.write( "A 1 day work will be =1/25 parts
\n" ); document.write( "task complete by A in 20 days =80/100 =4/5
\n" ); document.write( "remaining work =1-4/5 =1/5 (1)
\n" ); document.write( "let b can complete full work in X days
\n" ); document.write( "B 1 day work will be =1/X part
\n" ); document.write( "A and B 1 day work together will be = 1/25+1/x
\n" ); document.write( " = X+25/25X
\n" ); document.write( "A and B 3 days work will be = 3(x+25)/25x (2)
\n" ); document.write( "by given conditions equation 1 and 2 will be equal
\n" ); document.write( "1/5=3x +75/25x
\n" ); document.write( "25X = 5(3X +75)
\n" ); document.write( "25x= 15X + 375
\n" ); document.write( "25x-15x =375
\n" ); document.write( "10 X=375
\n" ); document.write( "X=37.5 days
\n" ); document.write( "B alone can complete whole work in 37.5 days OR 75/2 days Answer\r
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