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)
- Revolut
- Estimation
- Easy
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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
- Clarify: single lane, so cars pass one after another, not in parallel.
- 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.
- Assume each following car takes about 2 seconds to clear once moving in a queue.
- Calculate: 100 cars times 2 seconds each equals roughly 200 seconds of green time needed.
- Add a buffer for the first car's extra reaction delay, rounding to about 200 to 210 seconds total.
- Sanity check: that is roughly 3.5 minutes, a long but plausible green light for clearing 100 queued cars.
What a strong answer includes
- States the per-car clearance assumption explicitly, about 2 seconds per car in a moving queue (assumption).
- Shows the multiplication clearly: 100 times 2 seconds equals 200 seconds, then rounds sensibly.
- Sanity checks the final answer against real world intuition, noting 3.5 minutes is long but plausible for 100 cars.
Common mistakes
- Forgetting that the first car needs extra reaction time before the rest of the queue can move.
- Giving a number with no shown calculation.
- Wildly unrealistic per-car time, like 10 seconds, without sanity checking against real traffic.
Likely follow-up questions
- How would your estimate change for a two lane road?
- What assumptions would you want to validate with real traffic data?
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Learn the skill behind it
Chapters of the AI PM course that teach what this question tests.
- Chapter 2: Data fluency: SQL, logs, and reading the truth yourself
- Chapter 9: Prove it paid off: outcomes, economics, and pricing
- Chapter 14: Get the job: the AI PM interview loop