Math and Calculations
What the exam expects
Math questions reward method over memorization. Set up the problem, track units, and sanity-check the answer. Most collection-system math involves flow, volume, velocity, detention time, loading, and cost.
Concepts to master
- Flow conversions: gpm, mgd, cfs, liters.
- Volume = area × length; detention time = volume ÷ flow.
- Velocity = distance ÷ time; Q = A × V.
- Loading: lbs = concentration (mg/L) × volume (MG) × 8.34.
- Detention time in wet wells and force mains.
- Cost and dosage problems.
Traps
Unit mismatches are the biggest trap: mixing mgd with gpm, or hours with minutes. Convert first, then calculate. Also watch for questions that give diameter in inches but ask for area in square feet.
Worked example
A wet well holds 5,000 gallons. Inflow is 50 gpm. Detention time = 5,000 ÷ 50 = 100 minutes ≈ 1.67 hours. If the pump runs at 200 gpm, net drawdown rate is 150 gpm and cycle time = 5,000 ÷ 150 ≈ 33 minutes.