Estimation question

How long will you keep the traffic light green in order to allow 100 cars to pass through? (Assume a single lane road)

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What this question tests

Clean estimation skills applied to a physical throughput problem with clearly stated assumptions.

How to approach it

  1. Clarify: single lane, so cars pass one after another, not in parallel.
  2. Assume a car needs roughly 2 seconds of green time to start moving and clear the intersection from a stop, including reaction lag for the first car.
  3. Assume each following car takes about 2 seconds to clear once moving in a queue.
  4. Calculate: 100 cars times 2 seconds each equals roughly 200 seconds of green time needed.
  5. Add a buffer for the first car's extra reaction delay, rounding to about 200 to 210 seconds total.
  6. Sanity check: that is roughly 3.5 minutes, a long but plausible green light for clearing 100 queued cars.

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