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      Question

      A can do as much work in 4 days as B can do in 5, and B can do as much work in 6 days as C in 7. In what time will C do a piece of work which A can do in a week ?

      A 10(5/24) days Correct Answer Incorrect Answer
      B 4/5 days Correct Answer Incorrect Answer
      C 8/15 days Correct Answer Incorrect Answer
      D 6/19 days Correct Answer Incorrect Answer

      Solution

      ATQ,

      4A = 5B Efficiency ratio of A : B = 5 : 4 6B = 7C Efficiency ratio of B : C = 7 : 6 Efficiencies ratio of A, B and C = 35 : 28 : 24 Let C will complete the work in x days that A complete in 7 days ⇒ 7 × 35 = 24 × x ⇒ x = 245/24 = 10(5/24)

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