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Step-by-step breakdown of a rate problem showing how to calculate the combined hourly rate of a hose filling and a drain emptying a pool.

Math problem calculating pool drainage rates with a hose filling it simultaneously on grid paper.

WEBP 460×345 23.8 KB Free · Personal Use

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Show Answer Key & Explanations Step-by-step solution for: 3 Ways to Solve Combined Labor Problems - wikiHow

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- The drain empties the pool at a rate of 1/2 pool per hour.
- The hose fills the pool at a rate of 1/6 pool per hour.
- With both running, the net rate is: 1/2 - 1/6 = 3/6 - 1/6 = 2/6 = 1/3 pool per hour (emptying).
- Therefore, it takes 3 hours to empty the pool with the hose on.

Parent Tip: Review the logic above to help your child master the concept of work problem.

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