A, B and C can complete a piece of work in 24, 6 and 12 days respectively. Worki

Question

A, B and C can complete a piece of work in 24, 6 and 12 days respectively. Working together, they will complete the same work in:

Options:

A . \(\frac{1}{24}day\)

B . \(\frac{7}{24}day\)

C . \(3\frac{3}{7}days \)

D . 4 days

Answer: Option C

Formula: If A can do a piece of work in n days, then A's 1 day's work = \(\frac{1}{n},\)

(A + B + C)'s 1 day's work = \(\left(\frac{1}{24}+\frac{1}{6}+\frac{1}{12}\right)=\frac{7}{24}\)

Formula: If A's 1 day's work = \(\frac{1}{n},\) then A can finish the work in n days.

So, all the three together will complete the job in \(\frac{24}{7}days=3\frac{3}{7}days \)

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