Select the correct answerThe efficiencies of A, B and C are in the ratio of 5 : 3 : 2. Working together, they can complete a task in 21 hours. In how many hours will B alone complete 40% of that task?Options28352124
Question
Select the correct answerThe efficiencies of A, B and C are in the ratio of 5 : 3 : 2. Working together, they can complete a task in 21 hours. In how many hours will B alone complete 40% of that task?Options28352124
Solution
To solve this problem, we need to follow these steps:
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First, we need to find the total efficiency of A, B, and C. The ratio of their efficiencies is given as 5:3:2. So, the total efficiency is 5+3+2 = 10.
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We know that they can complete the task in 21 hours. So, the total work done is Efficiency * Time = 10 * 21 = 210 units.
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Now, we need to find the efficiency of B alone. From the ratio, we know that B's efficiency is 3.
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We need to find out how long B will take to complete 40% of the task. 40% of the total work is 0.40 * 210 = 84 units.
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Time is calculated by dividing the total work by the worker's efficiency. So, B will take 84/3 = 28 hours to complete 40% of the task.
So, the correct answer is 28 hours.
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