MATH SOLVE

5 months ago

Q:
# It takes three painters 4 hours to paint 1 classroom.How many hour does it talk 1 painter to paint to classrooms?

Accepted Solution

A:

It takes 1 painter 24 hours to paint two class roomsStep-by-step explanation:When some worker do a job together, thenThe 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 jobWhen y varies inversely with x, then x y = k, where k is constantIf 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 roomWe 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 roomsIt takes 1 painter 24 hours to paint two class roomsLearn more:You can learn more about inverse proportion in brainly.com/question/10708697#LearnwithBrainly