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Question : A, B, and C together can do a piece of work in 6 days. A and B together can do the same work in 12 days. B alone can do the same work in 18 days. In how many days can A and C together do the same work?

Option 1: 9 days

Option 2: 10.5 days

Option 3: 8 days

Option 4: 7.5 days


Team Careers360 21st Jan, 2024
Answer (1)
Team Careers360 25th Jan, 2024

Correct Answer: 9 days


Solution : According to the question
(A + B + C)'s 1 day work = $\frac{1}{6}$​
(A + B)'s 1 day work = ​$\frac{1}{12}$​
B's 1 day work =​ $\frac{1}{18}$​
⇒ (A + C)'s 1 day work = ​$\frac{1}{6} - \frac{1}{18}$ = $\frac{1}{9}$​
⇒ Time taken by A and C together = $\frac{1}{Rate}$ = $\frac{1}{\frac{1}{9}}$  = 9 days
Hence, the correct answer is 9 days.

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