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Step-by-step explanation:
96 days
Let time taken by B and C = x days
∴ Time taken by A = 3x days
∴ Part of work done by A, B and C in 1 day
= \frac{1}{x}+\frac{1}{3x} = \frac{3+1}{3x} = \frac{4}{3x}
\therefore \frac{4}{3x} = \frac{1}{24}
=> 3x = 4\times 24
=> x = \frac{4\times 24}{3} = 32\ days
∴ Time taken by A = 32 \times 3 = 96 days.
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