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Rate Problems - How Long Will it Take if Gene, Michael, and Janet Work Together

From

Find the Rate, Find the Time

How to Find Each Choreographer's Rate

Gene's Rate

  1. d = rt
  2. 1 = r * 5
  3. 1 ÷ 5 = r * 5 ÷ 5
  4. 1/5 = r

Michael's Rate

  1. d = rt
  2. 1 = r * 4
  3. 1 ÷ 4 =r * 4 ÷ 4
  4. 1/4 = r

Janet's Rate

  1. d = rt
  2. 1= r * 10
  3. 1 ÷ 10 = r * 10 ÷ 10
  4. 1/10 = r

What do you know?

  • 1 = Gene's rate * t + Michael's rate * t + Janet's rate * t
  • 1= (1/5)t + (1/4)t + (1/10)t

Solve for t:

  1. 1= (1/5)t + (1/4)t + (1/10)t
  2. 1= (11/20) * t
  3. 1÷ (11/20) = (11/20) * t ÷ (11/20)
  4. 20/11 =

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