hard · GMAT Quant

An industrial pump moves liquid through a pipeline. In minute t ≥ 1, the volume pumped is V_t = 30 + 8t liters. Once total cumulative volume pumped reaches or exceeds 400 liters, pressure builds and an overflow release valve opens, capping volume pumped in each subsequent minute to V_t = 15 + 4t liters.

What is the total volume of liquid pumped, in liters, during the first 9 minutes?

  1. 479
  2. 493
  3. 532
  4. 567
  5. 630

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