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      Question

      Neha and Seema can finish a work in 10 days and 25 days,

      respectively, when working alone. Neha started the work. After how many days should Seema join to complete the entire task in 9 days?
      A 6.5 Correct Answer Incorrect Answer
      B 5 Correct Answer Incorrect Answer
      C 8.5 Correct Answer Incorrect Answer
      D 10 Correct Answer Incorrect Answer

      Solution

      ATQ,

      Let the total work be 50 units (LCM of 10 and 25)

      Efficiency of Neha = (50 / 10) = 5 units/day

      Efficiency of Seema = (50 / 25) = 2 units/day

      Let Seema join after 'n' days.

      So, 5n + (5 + 2) × (9 - n) = 50

      ⇒ 5n + 63 - 7n = 50

      ⇒ 2n = 13

      ⇒ n = 6.5

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