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it takes 9 hours for 8 men to paint a room. How many men would be needed to paint the room in 4 hours?

Respuesta :

Answer:

2 people

Step-by-step explanation:

The one-person rate is 12 hours to do the job.

You can express this as 1%2F12 jobs per hour, the one-person rate.

Finding the rate of work each men can do can help. The number of men needed to paint the room in 4 hours in given case is 18

How are number of people to time needed to complete a task related?

More people to do a task means less time it will take.

Less people to do a task means more time it will take.

Thus, they are inversely related.

If x men take y time for a work,

Let we define:

  • Manpower needed for a work = Time per man × count of men
  • Manpower needed for a work =  xy

For given situation,

8 men take 9 hours for a work

It means,

Manpower needed for completing the given work = [tex]9 \times 8 = 72[/tex] units.

Suppose that it takes [tex]x[/tex] men to complete that same work in 4 hours.
The manpower needed by work = [tex]4 \times x[/tex]

As the manpower needed for completing the work is same, thus,

[tex]72 = 4 \times x\\\\x = \dfrac{72}{4} = 18[/tex]

Thus,  The number of men needed to paint the room in 4 hours in given case is 18

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