Question

A and B together can finish a work in 8 days. A alone can finish the work in 12 days. How long will B alone take to do the same work? ​

Answer 1

Answer:

A+B=1/8of the work in one day

A=1/12 of the work in one day

B=A+B-A

B=1/8-1/12

B=1/24

Therefore B will complete the work in 24 days . HOPE it helps you

Answer 2

Answer:

A and B together can finish a job in 8 days. A alone can finish a job in 12 days. How many days will it take B alone to do the same job?

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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 ..

Step-by-step explanation:

HOPE IT HELPED U

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