hard · GMAT Quant

A manufacturing plant runs three assembly lines, X, Y, and Z. Line X runs a 12-hour cycle, remaining active during the first 4 hours of each cycle. Line Y runs an 18-hour cycle, remaining active during the first 6 hours of each cycle. Line Z runs a 24-hour cycle, remaining active during the first 8 hours of each cycle. If all three lines start their initial cycles simultaneously at hour t = 0, for

How many hours during the first 144-hour operating window is exactly one assembly line active?

  1. 32
  2. 48
  3. 56
  4. 64
  5. 72

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