Select the correct answerA, B and C together can finish a piece of work in 30 days. If A and C is twice efficient than B. A and B is thrice efficient than C in how many days A alone can complete the work?Options80 days75 days72 days84 days
Question
Select the correct answerA, B and C together can finish a piece of work in 30 days. If A and C is twice efficient than B. A and B is thrice efficient than C in how many days A alone can complete the work?Options80 days75 days72 days84 days
Solution
To solve this problem, we need to first understand the efficiency of A, B, and C.
Given that A, B, and C together can finish a piece of work in 30 days, we can say that their combined efficiency is 1/30 work per day.
Also given that A and C are twice as efficient as B, and A and B are thrice as efficient as C. Let's assume the efficiency of B is x. Then, the efficiency of A and C together is 2x. Since A and B are thrice as efficient as C, the efficiency of A and B together is 3x.
We can set up the equation as follows:
2x (efficiency of A and C) + x (efficiency of B) = 1/30 (combined efficiency of A, B, and C)
Solving this equation gives us x = 1/120. This means the efficiency of B is 1/120 work per day.
Since A and B together are thrice as efficient as C, and we know the efficiency of B, we can find the efficiency of A. The efficiency of A and B together is 3x = 3/120 = 1/40. Subtracting the efficiency of B from this gives us the efficiency of A, which is 1/40 - 1/120 = 1/60.
Therefore, A alone can complete the work in 60 days. However, this option is not given in the question. There might be a mistake in the question or in the given options.
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