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  9. Q130

SSC MTS & Havaldar 2016 · Question 130 of 162

A can do a piece of work in 20 days. He worked for 5 days and B finished

  1. A56Correct
  2. B52
  3. C46
  4. D64

Answer: A. 56

Explanation

⇒ A’s 1 day work = 1 / 20 ⇒ A worked for 5 days ⇒ Then, A’ 5 days’ work = (1 / 20) ⨯ 5 = 1 / 4 ⇒ Remaining work = 1 - 1 / 4 = 3 / 4 ⇒ Now, B finished 3/4 of the work in 42 days ∴ Whole work done by B alone = 42 ⨯ 4 / 3 = 56 days

Source: SSC MTS 2016 re-exam (held 10-Oct-2017 Shift 1) paper with key+explanations, via prepp.in · reliable-secondary

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