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A certain number of men can complete a piece of work in 180 days. If there are 30 men less, it will take 20 days more for the work to be completed. How many men were there originally?

  • A.
    135
  • B.
    165
  • C.
    150
  • D.
    180
  • E.300

Answer: E

Let there be x men originally.
They were to complete the work in 180 days but as the number of persons is reduced to x – 30.
∴ Work takes 20 more days. So the equation is 180x = (x – 30)200 ⇒ 20x = 6000 ⇒ x = 300.

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