Question

A and B together can do a piece of work in 4 days which A alone
can do in 12 days. In how many days B alone can complete the
same work?


8 days
9 days
6 days
5 days​

Answer 1

Answer:

6 days

Step-by-step explanation:

If A completes the work in 12 days, then in one day the work done is 1/12th of the total work. Let the total work be 1.

Similarly for A and B to complete 1 work, they would take 4 days and in one day, 1/4th of total work is done by both of them.

So in one day A does 1/12th of the work and B does 1/B th of the work and together they complete 1/4th of the work.

Hence, 1/B + 1/12 = 1/4

Hence B =6.

Effectively B takes 6 days to complete the work

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Answer 2

Answer:

8 days

Step-by-step explanation:

A can do it in 12 days.

A and B together can do it in 4 days.

Time taken by A - Time taken to do it together = time taken by B to do it.

therefore, 12 days - 4 days = 8 days.

time taken by B = 8days