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      Question

      V and N, working individually, can complete a task in (w

      – 2) days and (w + 4) days, respectively. N initiated the task alone and was later joined by V after 10 days. Together, they completed the remaining work in the next 6 days. Determine the value of 'w.'
      A 5 Correct Answer Incorrect Answer
      B 12 Correct Answer Incorrect Answer
      C 20 Correct Answer Incorrect Answer
      D 25 Correct Answer Incorrect Answer
      E 15 Correct Answer Incorrect Answer

      Solution

      ATQ, Let total work = {(w – 2)(w + 4)} units Efficiency of 'V' = {(w – 2)(w + 4)}/(w – 2) = (w + 4) units/day Efficiency of 'N' = {(w – 2)(w + 4)}/(w + 4) = (w – 2) units/day ATQ; 10 × (w – 2) + 6 × (w + 4 + w – 2) = (w + 4)(w – 2) Or, w2 = 20 w Or, w = 20

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