A and B together can do a work in 8 days. jf A alone can do it in 12 days, then in how many days can B alone do it?
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1
A and B together take 8 days [ Here ‘A’ and ‘B’ refers to the work done by ‘A’ and ‘B’] .
A takes 12 days .
So,
Let the work done by A ( in 1 day ) be one -twelfth(1/12) of the work done ..
so,
in 8 days =
= 8/12
So.. now we can say that A has done 1/8 of the work ..and B has done 1/B of the work .
1/A + 1/B = 1/12 [Here B refers to number days taken by B to do the work ]
1/8+ 1/B = 1/12
1/B = 1/24
[ We equate the denominators as the numerators are equal ]
No of days B takes to complete the work = 24 days .
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4
Answer:
B can alone do it in 24 days.
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