WAKEY,WAKEY

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It was while spending a week at Bournemouth last summer that I started thinking about the beautiful and stately symmetry of a vessel's wake.A friend took us out into the Channel for a day in his speedboat,and we were running due South when a large ocean going liner heading west crossed our course.She was dead ahead of us at the stroke of noon. Six minutes later we took a bit of a tossing as we breasted the landward arm of the big liner's wake,and a short time later we crossed the other arm of her wake sweeping on its way out to sea. Now by a strange coincidence we crossed that second arm of the wake at exactly the same time that the first arm would have reached us if ,at noon ,we had been anchored instead of heading South. Can you say at what time we crossed the second arm?