Estimation question

How would you identify all the potholes in the United States?

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What this question tests

Estimation combined with practical systems thinking about data collection at scale.

How to approach it

  1. Clarify the question is really two parts: estimating the total number of potholes, and designing a method to identify them.
  2. Estimate total US road miles using a general known figure, then assume an average pothole density per mile based on road condition surveys.
  3. Multiply road miles by assumed potholes per mile to get a rough total count, stating both inputs as explicit assumptions.
  4. Propose an identification method: using dashcam or phone accelerometer data from ride-hailing or mapping app users to detect vibration signatures consistent with potholes.
  5. Address validation: crowdsourced reports (like Waze) combined with computer vision on existing street-view imagery to confirm and geolocate them.
  6. Note the trade-off between coverage speed (crowdsourced) and accuracy (dedicated sensor sweeps).

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