Reward of Waiting

I feel like this season of my life has been about waiting on the Lord. It has seemed that all of the scripture verses I have come across have been about waiting. I got frustrated many times because I never understood it. What is it about waiting? What am I waiting for the Lord for?
In this last week, God has answered my question, I think. And if it's not the right answer, it still makes sense. There is a reward in waiting, thus the saying, "Good things come to those who wait." In Isaiah 40:31, it says, "But those who wait on the Lord will renew their strength." One reward of waiting: new strength.
When we wait upon the Lord, we will see Him working in our lives. We are going to see the things He will do, and that is where our strength comes from. When we wait, say for a train, we get confidence that the train is going to come the more times it comes when we've been waiting for it. It's the same with the Lord. The more we wait on Him, and the more times He comes through, the more strength we are going to draw. It's Him keeping His promises.
Sometimes, it's frustrating to wait upon the Lord. But, when we do, and we see Him come through, we are going to have strength: new strength.

I hope this makes sense. I'm having a hard time articulating what I'm sensing this means. Sometimes, it's hard to put into words a God-concept. Probably because words are so limiting, and He has no limit. He is far above all these words we have. There are none for our God.