Question : A and B together can complete a piece of work in 18 days, B and C in 24 days, and A and C in 36 days. In how many days, will all of them together complete the work?
Option 1: 16 days
Option 2: 15 days
Option 3: 12 days
Option 4: 10 days

Question

Question : Vijay and Sahil together complete a piece of work in 40 days, Sahil and Ranjit can complete the same work in 48 days and Ranjit and Vijay can complete the same in 60 days. In how many days can all three complete the same work while working together?
Option 1: 16 days
Option 2: 24 days
Option 3: 32 days
Option 4: 38 days

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Answer 1

Correct Answer: 16 days

Solution : 1 day work of A and B = $\frac{1}{18}$ ---------(1)
1 day work of B and C = $\frac{1}{24}$ ---------(2)
1 day work of A and C = $\frac{1}{36}$ ---------(3)
Adding equations (1), (2) and (3), we get:
⇒ 2 × (A + B + C) = $\frac{1}{18} + \frac{1}{24} + \frac{1}{36}$
LCM of (18, 24, 36) = 72
⇒ 2 × (A + B + C)'s 1 day work = $\frac{4 + 3 + 2}{72} = \frac{1}{8}$
⇒ (A + B + C)'s 1 day work = $\frac{1}{8 \times 2} = \frac{1}{16}$
So, A, B, and C can work together in 16 days.
Hence, the correct answer is 16 days.

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Question : A and B together can complete a piece of work in 18 days, B and C in 24 days, and A and C in 36 days. In how many days, will all of them together complete the work?Option 1: 16 daysOption 2: 15 daysOption 3: 12 daysOption 4: 10 days

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Question : A and B together can complete a piece of work in 18 days, B and C in 24 days, and A and C in 36 days. In how many days, will all of them together complete the work?
Option 1: 16 days
Option 2: 15 days
Option 3: 12 days
Option 4: 10 days