Question 27

A, B and C can finish a job working alone in 12, 8 and 24 days respectively. In how many days they can finish the job if they worked together?

Solution

A, B and C can finish the job working alone in 12, 8 and 24 days respectively.

=> (A+B+C)'s combined efficiency = $$\frac{1}{12}+\frac{1}{8}+\frac{1}{24}$$

= $$\frac{(2+3+1)}{24}=\frac{6}{24}=\frac{1}{4}$$

$$\therefore$$ Time taken by them to finish the job together = 4 days

=> Ans - (C)

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