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Packing Boxes

Stage: 3 Short Challenge Level: Challenge Level:2 Challenge Level:2
See all short problems arranged by curriculum topic in the short problems collection

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.