MathematicsA & B working together can complete a task 8 days, B & C can do it in 16 Days. A worked at it for 5 days & B worked at it for 15 Days & B worked at it for 6 days C alone finished the remaining work in 16 Days. How many days would C take to complete the same work alone?

A & B working together can complete a task 8 days, B & C can do it in 16 Days. A worked at it for 5 days & B worked at it for 15 Days & B worked at it for 6 days C alone finished the remaining work in 16 Days. How many days would C take to complete the same work alone?


  1. A
    24 Days
  2. B
    48 Days
  3. C
    13 Days
  4. D
    29 Days 

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    Solution:

    Let us assume the total work = x
    A and B can complete the work in 8 days
    B & C can complete the work in 16 days
    If A works for 5 days then work done by
    If B works for 6 days then work done by
    If C works for 16 days then work done by
    According to the condition
    5A+6B+16c =x
    From the equation
    Hence, Option (2) is the correct answer.
     
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