hard · GMAT Quant

A manufacturing facility uses three assembly lines, Line 1, Line 2, and Line 3, operating on continuous repeating schedules. Line 1 operates on a 15-minute cycle and runs for 5 minutes. Line 2 operates on a 20-minute cycle and runs for 6 minutes. Line 3 operates on a 30-minute cycle and runs for 10 minutes. Line 1 and Line 2 start operating at time t = 0 minutes, whereas Line 3 is delayed and begins operating at time t = 3 minutes. During a 300-minute operational shift, for

How many total integer minutes are all three lines operating simultaneously?

  1. 5
  2. 10
  3. 15
  4. 20
  5. 25

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