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A, B and C can do a piece of work in 30 days, 45 days and 90 days, respectively. A starts the work and he is assisted by B and C together every third day. In how many days will the work be completed?

A, B and C can do a piece of work in 30 days, 45 days and 90 days, respectively. A starts the work and he is assisted by B and C together every third day. In how many days will the work be completed? Correct Answer 23

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Total work = 90

Work done by A, B and C in 3 days = 3A + B + C = 3 × 3 + 2 + 1 = 12

Work done by A, B and C in 21 days = 12 × 7 = 84

Remaining work = 90 – 84 = 6

A will complete 6 unit work in 6/3 = 2 days

Total days = 21 + 2 = 23

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