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Working together, Shawn and Hector can install a tile floor in 6 hours. It would take Shawn 9 hours to do the job alone. What is the value of r, Hectora's rate of work in part per hour?

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The Hectora's rate of work in part per hour is 18 hours

Given the following parameters:

  • The time it takes Shawn and Hector to install a tile floor is 6 hours

  • Time taken by Shawn to install a tile is 9 hours
  • Time taken by Hectora to install a tile is r hours

Taking the sum of the reciprocals of the time taken;

1/6 = 1/9 + 1/r

1/r = 1/6 - 1/9

1/r = 9-6/54

1/r = 3/54

Cross multiply

3r = 54

r = 54/3

r = 18 hours

Hence the Hectora's rate of work in part per hour is 18 hours

Learn more about reciprocals here: https://brainly.com/question/2534506

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