Enter the space-race in Rocket Valley Tycoon, a free-to-play resource management game inspired by the golden age of futurism. Build Factories and Railroads, construct Rockets and send the good people of Earth to colonize space.
It's a game you can drop into for a couple of minutes or tap about in for a couple of hours, just be sure you've the patience to properly learn the mechanics to avoid frustration.
You could also argue that it takes too long to actually get to the point where you're making rockets, but that's maybe personal choice. At the end of the day, Rocket Valley Tycoon sets out to join together the very big and the very small, and for the most part the resulting game is a blast. And yes, that was a rocket pun.