Respuesta :

Ashraf82

It takes 1 painter 24 hours to paint two class rooms

Step-by-step explanation:

When some worker do a job together, then

  • The number of worker is varies inversely with the time to finish the job, because 2 workers take time less than 1 worker to finish the same job
  • When y varies inversely with x, then x y = k, where k is constant
  • If 5 workers finish a job in 2 hours, then 10 workers finish the same job is 1 hour because 5 × 2 = 10 × 1

∵ It takes three painters 4 hours to paint 1 classroom

∵ It takes 1 painter x hours to paint 1 class room

- Equate 3 × 4 by 1 × x because they will do the same job

∴ 3 × 4 = 1 × x

∴ 12 = x

∴ It takes 1 painter 12 hours to paint 1 class room

We need to find it takes 1 painter to paint two class room

∵ The painter will paint 2 class rooms

∵ He takes 12 hours to paint 1 class room

- Multiply his time in one class room by 2

∵ 12 × 2 = 24

∴ It takes 1 painter 24 hours to paint 2 class rooms

It takes 1 painter 24 hours to paint two class rooms

Learn more:

You can learn more about inverse proportion in brainly.com/question/10708697

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