Estimation question
How would you estimate the total number of cars right now in Highway 101 between San Francisco and Mountain View?
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What this question tests
Structured estimation applied to a physical, real-world scenario with clear geographic bounds.
How to approach it
- Clarify scope: the stretch of Highway 101 between San Francisco and Mountain View, roughly 35 to 40 miles, at a given moment.
- Estimate average traffic density per lane per mile based on typical highway spacing, e.g. one car per 100 to 150 feet during moderate traffic.
- Estimate the number of lanes in each direction, assumed at 4 to 5 lanes each way for this stretch.
- Multiply density per lane-mile by total lane-miles (distance times lanes times both directions) to get a total car count.
- Adjust the estimate for time of day, since rush hour density is much higher than off-peak.
- State the final estimate as a range tied to a specific time-of-day assumption.
What a strong answer includes
- States the distance and lane count assumptions explicitly rather than guessing silently.
- Uses a grounded car-spacing assumption, e.g. one car per 120 feet in moderate traffic, to derive density.
- Shows the full multiplication: distance times lanes times cars per lane-mile, so the logic is auditable.
- Provides a range for rush hour versus off-peak rather than one static number.
Common mistakes
- Not stating the distance or lane count assumptions before estimating.
- Giving one number with no acknowledgment that traffic density varies hugely by time of day.
Likely follow-up questions
- How would this estimate change during rush hour versus midnight?
- How confident are you in your car-spacing assumption?
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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