document.write( "Question 1012955: : To complete a work 'A' takes 50% more time than 'B'. If together they take 18 days to complete the work, how much time will 'B' take to do it? \n" ); document.write( "
Algebra.Com's Answer #629098 by ankor@dixie-net.com(22740)\"\" \"About 
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To complete a work 'A' takes 50% more time than 'B'.
\n" ); document.write( " If together they take 18 days to complete the work, how much time will 'B' take to do it?
\n" ); document.write( ":
\n" ); document.write( "let b = time required by B to do the job
\n" ); document.write( "\"To complete a work 'A' takes 50% more time than 'B'\"; therefore
\n" ); document.write( "1.5b = Time required by A to do the job
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\n" ); document.write( "Let the completed job = 1
\n" ); document.write( "Each will do a fraction of the job, the two fractions add up to 1
\n" ); document.write( "\"18%2F%281.5b%29\" + \"18%2Fb\" = 1
\n" ); document.write( "Get rid of the fractions, multiply equation by 3b
\n" ); document.write( "3b*\"18%2F%281.5b%29\" + 3b*\"18%2Fb\" = 3b(1)
\n" ); document.write( "Cancel the denominators
\n" ); document.write( "2(18) + 3(18) = 3b
\n" ); document.write( "36 + 54 = 3b
\n" ); document.write( "90 = 3b
\n" ); document.write( "b = 90/3
\n" ); document.write( "b = 30 hrs required by B to do the job alone
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\n" ); document.write( "Check this
\n" ); document.write( "\"18%2F%281.5%2A30%29\" + \"18%2F30\" = 1
\n" ); document.write( "\"18%2F45\" + \"18%2F30\" = 1
\n" ); document.write( "using a calc
\n" ); document.write( ".4 + .6 = 1
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