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      Question

      "A" can complete a task in 15 days, while it takes 25

      days for "B" to complete the same task. The ratio of the efficiencies of "A" and "C" is 2:1. If a task takes 30 days for 2A, 3B, and 4C working together, find out the number of tasks that were achieved.
      A 50 Correct Answer Incorrect Answer
      B 15.05 Correct Answer Incorrect Answer
      C 25.12 Correct Answer Incorrect Answer
      D 11.6 Correct Answer Incorrect Answer
      E none of these Correct Answer Incorrect Answer

      Solution

      ATQ, Let the total number of task achieved be β€˜a’ and each Task are of 300b units of work. Efficiency of a 'A'= 300b/15 = 20b units/day Efficiency of a 'B' = 300b/25 = 12b units/day Efficiency of a 'C' = (1/2) Γ— 20b = 10b units/day Now, total task achieved = a Γ— 300b units Work done by 2A, 3B and 4C working together in 30days = 30 Γ— (2 Γ— 20b + 3 Γ— 12b + 4 Γ— 10b) units = 30 Γ— (40b + 36b + 40b) units = 3480b units ATQ, a Γ— 300b = 3480b Or, a = 3480/300 = 11.6

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