Lapping on the track

On a circular track, Lauda completes a lap every 66 minutes and Hunt every 99 minutes. Starting together, after how many minutes does Lauda first "lap" Hunt - i.e. gain a full lap on him?

Show hints (2)+
  1. Lauda gains laps at rate 1/61/91/6 - 1/9 per minute.
  2. That's 1/181/18 lap/min; time for a full lap lead is the reciprocal.

Answer

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18

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Asked at: Optiver, IMC

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