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A work can be completed by A and B in 8 days. They started work together and after 2 days of starting the work, A left the work then B complete the whole work with the help of C in 9 days. If B alone can complete the work in 24 days then find in how many days C alone can complete the work.

A work can be completed by A and B in 8 days. They started work together and after 2 days of starting the work, A left the work then B complete the whole work with the help of C in 9 days. If B alone can complete the work in 24 days then find in how many days C alone can complete the work. Correct Answer 24 days

Given: Work can complete by A and B in = 8 days

B alone can complete the work in = 24 days

When A left the work B complete the work with the help of C in = 9 days

Calculation: Work done by A and B in one day = 1/8

Work done by A and B in 2 days = 2/8

Then work done by B and C in one day = /9

⇒ 6/(8×9)

⇒ 1/12

Work done by B in one day = 1/24

Work done by C in one day =

⇒ 1/24

∴ Whole work done by C in is 24 days

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