A and b can together finish a work in 30 days. They worked at it for 10 days together and then b left. The remaining work was done by a alone in 30 more days. B alone can finish the work in
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A and B can do the work in 30 days
1 day = 1/30 of the work
Amount of work done in 10 days:
1 day = 1/30 of the work
10 days = 10/30 = 1/3 of the work
Amount of work left after 10 days:
Work Left = 1 - 1/3 = 2/3 of the work
Find the amount of work A can do in a day:
30 days = 2/3 of work
1 day = 2/3 รทย 30 = 1/45 of the work
Find the amount of work B can do in a day:
1 day = 1/30 - 1/45 = 1/90 of the work
Find the number of days needed for B to finish the work alone:
1/90 of the work = 1 day
90/90 of the work = 1 x 90 = 90 days
Answer: B needs 90 days to finish the work alone.
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