为什么have time to do而have a hard time doing

"have a hard time doing"和"have hard time to do"有区别吗? have a good time 和have a hard time后接to do ,doing? have a hard time doing 还是have hard time doing have hard time to do? 请问have a good/hard/difficult time to do 还是doing have a hard time 后接to do sth 还是doing 也是急用 have a hard time doing sth have a good time doing还是to do? have a adj time doing还是to do? have a difficult time to do还是doing have a wonderful time+doing还是to do have enough time to do 还是doing