A and B take 6 and 9 hours respectively to complete a work work for 1 hour and then we were for 2 hours how much work is done in these 3hours and how much work is still left?

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Solution

Given : A and B take 6 hours and 9 hours respectively to complete a work .

A can do a piece of work in 6 hours , So

work done by A in 1 hr is 1/6 of total work.

B can do the same work in 9 hours . So
Work done by B in 1 hr = 1/9 of total work.

B can do a piece of work in 2 hours = 1/9 × 2 = 2/9 of work

1 ) Work is done in these 3 hours = 1/6 + 2/9 = 7/18 of total work

2 ) Work still left = 1 − 7/18 = 11/18 of work

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