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A certain number men agreed to do a work in 20 days. 5 men did not come for work. Others completed the work in 40 days. Find the number of…

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A certain number men agreed to do a work in 20 days. 5 men did not come for work. Others completed the work in 40 days. Find the number of men who had agreed to do the work originally?
  • A8
  • B10
  • C12
  • D15
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Discussion 1

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CCommunity
Let the number of men who agreed to do the work in 20 days be x

⇒ work done by x men = 20x

Also given (x - 5) men will complete the work in 40 days

⇒ work done by (x - 5) men = 40(x - 5)

Since the work done by both are same

⇒ 20x = 40(x - 5)

⇒ 20x - 40x = - 200

⇒ x = 10

∴ No of men who had agreed to do the work originally = 10