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      Question

      โ€˜Aโ€™ and โ€˜Bโ€™ can do a piece of work in 20 days

      and 32 days, respectively. If they started the work together and worked on it for 5 days, then find the time taken by โ€˜Bโ€™ alone to complete the remaining work.
      A 18 days Correct Answer Incorrect Answer
      B 17 days Correct Answer Incorrect Answer
      C 16 days Correct Answer Incorrect Answer
      D 19 days Correct Answer Incorrect Answer
      E None of these Correct Answer Incorrect Answer

      Solution

      Let total amount of work be 160 unitsย  Efficiency of โ€˜Aโ€™ = 160/20 = 8 units/day Efficiency of โ€˜Bโ€™ = 160/32 = 5 units/day Amount of work done by โ€˜Aโ€™ and โ€˜Bโ€™ together in 5 days = (8 + 5) ร— 5 = 65 units Time taken by B to complete remaining work = (160 โ€“ 65)/5 = 19 days

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