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      Question

      A and B together have to complete a piece of work

      consisting of 160 equal units. A can do (x + 2) units of work per day and B can do (x βˆ’ 2) units per day. They complete the work together in 5 days. In how many days can A alone complete the entire work?
      A 7(2/5) days Correct Answer Incorrect Answer
      B 5(1/7) days Correct Answer Incorrect Answer
      C 8(8/9) days Correct Answer Incorrect Answer
      D 3(5/7) days Correct Answer Incorrect Answer
      E None of these Correct Answer Incorrect Answer

      Solution

      ATQ, Total work = 160 units Combined daily work of A and B = (x + 2) + (x βˆ’ 2) = 2x units/day They finish in 5 days β‡’ Total work = 5 Γ— (2x) = 10x So, 10x = 160 x = 16 A’s speed = x + 2 = 18 units/day Time for A alone = 160 / 18 = 80 / 9 days = 8 8/9 days

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