A contractor decides that he can build a barn in nine weeks using four men. If he employs two more men, how long will the job take? Assume that all the men work at the same rate.

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Answer: 6weeks

Step-by-step explanation:

If it takes 4 men, 9 weeks to build a barn.

It will take a man; 4 x 9weeks =36 weeks to make a barn

If it takes a man 36weeks to make a barn, it will take 4men + 2 men i.e 6men = 36/6

6 weeks to make a barn

The long will the job take:

  • If it takes 4 men, 9 weeks to build a barn.
  • It will take a man; 4 x 9weeks =36 weeks to make a barn
  • If it takes a man 36weeks to make a barn, it will take 4men + 2 men i.e 6men = 36/6

Thus,by adding two more men it will take 6 weeks to make a barn.

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