Estimation question

Calculate the number of elevators required in a 100-floor building with an occupancy of 100 per floor.

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What this question tests

Whether the candidate can build a queuing-based capacity estimate rather than a naive population-divided-by-elevator-size calculation.

How to approach it

  1. State assumptions: 100 floors, 100 people per floor (10,000 total occupants), and a target of moving everyone comfortably during a peak period like morning rush.
  2. Assume a peak arrival rate, for example 15 percent of building occupants (1,500 people) need to arrive within a 30-minute peak window.
  3. Assume each elevator car holds 15 people and takes roughly 3 minutes for a round trip (load, travel, unload, return) during peak floors.
  4. Calculate single-elevator throughput: 15 people every 3 minutes means 10 trips in 30 minutes, or 150 people moved per elevator in the peak window.
  5. Divide total peak demand by single-elevator throughput: 1,500 divided by 150 gives roughly 10 elevators, then round up for a safety margin, landing around 12 to 14.

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