This question appears in Google search as top result for query “copy project in eclipse”.
To copy project in Eclipse:
1) right click on project in Package Explorer view;
2) choose Copy;
3) right click on free place in Package Explorer view;
4) choose Paste;
5) enter new name in the prompt window.
To answer actual question, the best way is to delete project B and after — copy project A as explained above and give it name B.