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Back to 8.9 Use Direct and Inverse Variation

8.9 Exercise 51

Avg difficulty 2.5

Write an inverse variation equation to solve the following problems.

The time required to empty a tank varies inversely as the rate of pumping. It took Janet 5 hours to pump her flooded basement using a pump that was rated at 200 gpm (gallons per minute),

  1. ⓐ Write the equation that relates the number of hours to the pump rate.
  2. ⓑ How long would it take Janet to pump her basement if she used a pump rated at 400 gpm?

OpenStax Elementary Algebra 2e, 8.9 Use Direct and Inverse Variation, exercise 51

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Adapted from Elementary Algebra 2e © 2020 Rice University. Licensed under CC BY 4.0. Source: Elementary Algebra 2e. Imported at revision 77a933c.