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ibps-rrb-os1 2018 · Question 73 of 74

Efficiency of B is two times more than efficiency of A. Both started working alternatively, starting with B and completed the work in total 37 days. If C alone can complete the same work in 50 days then find in how many days A and C together will complete the work?

Time & Work

  1. A24 days
  2. B30 daysCorrect
  3. C36 days
  4. D48 days
  5. E18 days

Answer: B. 30 days

Explanation

30 days Time taken by B = x days ∴ Time taken by A = 3x days Work done in first two days x x x x 3 4 3 1 3 3 1 1 = + = + = ∴Work done in 36 days = x x 24 3 4 18 = × ∴ Work done in 37 days x x x 25 1 24 = + = ∴ Time taken by A = 75 days 30 1 150 5 150 3 2 50 1 75 1 work day 1 C) (A = = + = + = + ∴ ∴ Required time = 30 days

Source: IBPS RRB Officer Scale-I Exam 2018 (memory-based, BankAchievers) · memory-based

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