Time and Work Questions Answers

• 22. Rahul and Sham together can complete a task in 35 days, but Rahul alone can complete same work in 60 days. Calculate in how many days Sham can complete this work ?

  1. 84 days
  2. 82 days
  3. 76 days
  4. 68 days

  Answer And Explanation

  Answer: Option A

  Explanation:

  As Rahul and Sham together can finish work in 35 days.
  1 days work of Rahul and Sham is 1/35
  Rahul can alone complete this work in 60 days,
  So, Rahul one day work is 1/60
  Clearly, Sham one day work will be = (Rahul and Sham one day work) - (Rahul one day work)
  \begin{aligned}
  = \frac{1}{35} - \frac{1}{60} \\
  = \frac{1}{84} \\
  \end{aligned}
  
  Hence Sham will complete the given work in 84 days.

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