# A can do a work in 15 days and B can do it 30 days.In how many days will A and B together complete the work ?

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by baidyank

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by baidyank

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so, work done by 'A' in 1 day = 1/15 part of a work

And,

work done by'B' in 30 days = 1 work

so, ,work done by 'B' in 1 day = 1/30 part of a work

there work done by (A+B) in 1 day = 1/15+1/30 = 1/10 part of a work.

1/10 part of a work done by (A+B) in 1 day

so, 1 work done by (A+B) in days = 10 days

B can do a work in= 30 days

A's one day work rate= 1/15

B's one day work rate=1/30

To get their work rates combined, we'll add them=

15 30 30 30 10

To get the no. of days we do the reciprocal.

So the ans is 10 days.