If the Director agrees that it was because your opponents were slow and not you then a normal score would be to give you Average Plus and them Average Minus. Thsi means you gain three imps on the board, and they lose three imps.
I am afraid that if he does not agree that it was their fault [and often both sides blame each other
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] then both sides get a flat board.
If he agrees it was their fault then there are two further [but very rare] possibilities. First, if they are often doing this, he can give them a procedural penalty, taking a further 3 imps or half a Victory point from them. Sadly you do not get the benefit of this!
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Second, if he felt that your score in the other room was a very good one and he believes it was their fault then he just might give you an "assigned score" so you do not lose your good result.