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Collection System MathAdvanced 32 min read

Collection System Math: Advanced Integrated Problems II — Capacity Buildout, I&I & a Mock Exam Set

Four fully worked Collection Class 4 mock-exam scenarios: pipe capacity buildout under growth, I&I reduction target math, multi-segment force main TDH, and a second population-to-wet-well integrated design problem.

Part I walked through one complete design chain end to end. This guide is structured differently — as a mock exam problem set: four independent, fully worked, multi-concept scenarios of the kind you should expect to see mixed together on the actual Class 4 exam. Work each one before reading the solution, then check your process against the worked steps.
Mock Problem 1: Capacity Buildout Under Growth
Problem: A trunk sewer currently carries a measured peak flow of 300 gpm. The service area is growing at 3% per year. The trunk is a 12-inch pipe (n=0.013n = 0.013) laid at 0.25% slope. In 10 years, what percentage of the pipe's full-flow capacity will the peak flow represent?
Step 1 — Project the future peak flow using compound growth. Future Peak=Current Peak×(1+r)t=300×(1.03)10\text{Future Peak} = \text{Current Peak} \times (1 + r)^t = 300 \times (1.03)^{10} (1.03)101.344(1.03)^{10} \approx 1.344 $$\text{Future Peak} \approx

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