document.write( "Question 979565: A,B can do a piece of work 6,8 hours respectively.If they work for a day alternatively.Suppose A beginning the work,in how many days work will be completed?
\n" ); document.write( "i think answer is 6 ³/2.
\n" ); document.write( "please explain this question.
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Algebra.Com's Answer #600848 by josgarithmetic(39618)\"\" \"About 
You can put this solution on YOUR website!
Your description might be better understood as, \"A and B working independently and not at the same time on the same job, take 6 and 8 hours respectively\". They can still work \"ALTERNATELY\" on a task.\r
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\n" ); document.write( "\n" ); document.write( "WORKER________RATE, job/hours
\n" ); document.write( "A_____________1/6
\n" ); document.write( "B_____________1/8\r
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\n" ); document.write( "\n" ); document.write( "Now, the rest of the description gives A and B working in alternation. Each is working on the job separately, not simultaneously. We could try making calculation at a very low level.\r
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\n" ); document.write( "\n" ); document.write( "(1/6)*1+(1/8)*1+(1/6)*1+(1/8)*1+....=1\r
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\n" ); document.write( "\n" ); document.write( "Try maybe using a variable for the number of day that EACH may possibly work alone, although the true result could be non-whole.
\n" ); document.write( "Say like, A and B each works x days.
\n" ); document.write( "\"x%2A%281%2F6%29%2Bx%281%2F8%29=1\"
\n" ); document.write( "\"x%281%2F6%2B1%2F8%29=1\"
\n" ); document.write( "\"x%284%2F24%2B3%2F24%29=1\"
\n" ); document.write( "\"x%287%2F24%29=1\"
\n" ); document.write( "\"x=24%2F7\", which is \"3%263%2F7\" days.\r
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\n" ); document.write( "\n" ); document.write( "Try to now go back to the lowest day to day level.
\n" ); document.write( "First let A work for 3 days and B work for 3 days, knowing that A and B never work on the same day.\r
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\n" ); document.write( "\n" ); document.write( "\"%281%2F6%29%2A3%2B%281%2F8%29%2A3=j\"
\n" ); document.write( "\"%284%2F24%2B3%2F24%29%2A3=j\"
\n" ); document.write( "\"%287%2F24%29%2A3=j\"
\n" ); document.write( "\"j=7%2F8\"
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\n" ); document.write( "This way, three days for A and three days for B, done in alternation,
\n" ); document.write( "completes only \"7%2F8\" of the job, and the work began with worker A. B worked last, so A does ONE MORE day...
\n" ); document.write( "-
\n" ); document.write( "\"%281%2F6%29%2A4%2B%281%2F8%29%2A3=j\"
\n" ); document.write( "\"%284%2A4%29%2F24%2B%283%2A3%29%2F24=j\"
\n" ); document.write( "\"16%2F24%2B9%2F24=j\"
\n" ); document.write( "\"25%2F24=j\"
\n" ); document.write( "This then is slightly MORE THAN 1 JOB. \r
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\n" ); document.write( "\n" ); document.write( "Let me just summarize as much as to say, A will work for 4 days, and then B will have worked 3 days, plus most of the last day but not all of it.
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