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Select the correct answerThe ratio of the efficiencies of A, B and C is 4 : 5 : 3. Working together, they can complete that work in 25 days. A and C together will complete 35% of that work in?Options10 days12 days18 days15 days

Question

Select the correct answerThe ratio of the efficiencies of A, B and C is 4 : 5 : 3. Working together, they can complete that work in 25 days. A and C together will complete 35% of that work in?Options10 days12 days18 days15 days

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Solution

To solve this problem, we need to follow these steps:

  1. First, we need to find the total efficiency of A, B, and C. The ratio of their efficiencies is 4:5:3, which means the total efficiency is 4+5+3 = 12.

  2. We know that A, B, and C together can complete the work in 25 days. So, the total work is 25 (days) * 12 (total efficiency) = 300 units.

  3. We need to find out how much work A and C can do together. The efficiency of A and C together is 4+3 = 7.

  4. We need to find out how many days A and C will take to complete 35% of the work. 35% of the total work is 0.35 * 300 = 105 units.

  5. To find out how many days A and C will take to complete 105 units of work, we divide the total work they need to do by their combined efficiency. So, 105 units / 7 (efficiency of A and C) = 15 days.

So, A and C together will complete 35% of the work in 15 days. Therefore, the correct answer is 15 days.

This problem has been solved

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