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Real-Life Math

"We need to make sure these flow rate readings are correct," the operations manager says to you.

"No problem," you respond, because you're a plastics engineer with the math skills to do the job.

One of your many tasks at the plant is to help solve production problems. Your plant produces small plastic pellets, which are used by your customers to create finished products -- everything from plastic bags to inline skates.

Now, the operations manager says there might be a difference between the actual rate fluids leaving a storage container, called a vessel, and the reading on a flow rate gauge.

Here's what you know:

  • Watching the levels in the vessel, you see that it drops from 80 cubic meters to 72 cubic meters in a 10-minute period.
  • The flow rate gauge tells you that the fluids are leaving the vessel at the rate of 50 cubic meters an hour.

Using the above numbers, determine the following:

  1. Is the flow rate gauge working properly?
  2. By how many cubic meters is it off per hour?
  3. At this rate, assuming the flow remains constant, how long will it take to drain the entire 80 cubic meters of fluid?
  4. How much fluid will the faulty flow rate gauge say was drained once the vessel is empty?

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