Here's an article about a meditation teacher in Australia named Ajahn Brahmavamso. Take a look at this excerpt:
With so much of talk about everyone being busy, Ajahn Brahm insisted that meditation is ideal for busy people. “Even if you are a busy person, it is more important to be able to spend some time being peaceful. If you don't learn how to be peaceful, you soon get very, very tired.”Meditation really does rest the mind if you do it correctly - that is, without strain or inner tension. It's a false economy indeed to "save time" by not meditating because meditation makes you more effective and efficient so that the time you have is put to better use.
To explain how meditation helps you, he used a simple exercise lifting the half-filled glass of water he had in front of him. "Say I am lifting up this glass of water and you ask me how heavy it is. If I keep holding the glass of water for five minutes, it appears quite heavy. If I continue to hold the glass for half an hour, I will be in quite a lot of pain. If I keep on holding it for two hours, I would be a stupid monk. When it starts to get heavy, what should I do? Put it down — let it go. I don't need to throw the glass of water away — I just put it down for, may be for 20 seconds. When I pick it up again, it feels lighter because I have rested.
“The problem of stress in our modern world is not because we do too much — it's because we don't know how to put our burdens, our responsibilities down for a few minutes and rest and relax. All we need to do is to rest for 15 or 20 minutes in meditation and afterwards we find ourselves so relaxed, we can carry the burdens of life without so much stress. That is what meditation is — learning how to relax so that you can do more with less stress,” he said.