A can do a task in 18 days, B can do the same task in 24 days, and C can destroy the whole work in 36 days. If A & B work for the first x x x days...

Question

A can do a task in 18 days, B can do the same task in 24 days, and C can destroy the whole work in 36 days. If A & B work for the first xx days together, after that C also joined them, remaining work is completed in (x+45)\left(x + \frac{4}{5}\right) days. Find how many days all three worked together?

Options

A.

64 days\frac{6}{4} \text{ days}

B.

54 days\frac{5}{4} \text{ days}

C.

44 days\frac{4}{4} \text{ days}

D.

74 days\frac{7}{4} \text{ days}

E.

84 days\frac{8}{4} \text{ days}

work and timeefficiencywork donedestructive worktime calculation

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