hard · GMAT Quant

A manufacturing plant operates p production lines during a shift. High-speed automated lines produce 45 units per hour, and standard lines produce 20 units per hour. During a 1-hour shift, all p lines operate continuously and produce a total of 730 units. The number of high-speed lines, h, and standard lines, s, are positive integers such that h + s = p. If the number of standard lines s is an odd number and h > dfracs2

What is the value of p?

  1. 14
  2. 19
  3. 24
  4. 29
  5. 34

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