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Harry, Christine and Betty are packing $36$ boxes of chocolates.

Harry and Christine would take $2$ hours to pack the boxes;
Harry and Betty would take $3$ hours;
Christine and Betty would take $4$ hours.

How many boxes does Christine pack in one hour?
If you liked this problem, here is an NRICH task which challenges you to use similar mathematical ideas. 

This problem is taken from the UKMT Mathematical Challenges.
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