Cracked driveway

Hello, looking for suggestions - I have a concrete driveway that's quite old, maybe even as old as the house, which is 56 years. Anywho, it has cracked and settled just a little over the years. It's about 10' by 60'. Toward the street the whole pieces of slab are ruoghly 5' x 12'. Up toward the house the pieces are 5x5 or so. The whole thing is like somebody put together a puzzle and left cracks in between.
I've thought about filling the cracks with that pourable goo gray stuff, does that work ?
Or - could I do asphalt over it ? Or would that be so thick that I'd have a problem as the driveway goes into the garage ? How thick would the asphalt need to be if laid over concrete ?
Any other ideas, short of ripping it out and pouring new concrete ($$$ !) are welcome.
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Yes, there'll be a bump, but a talented paving person should be able to taper it so people aren't tripping over it. Another potential downside is if you ever need to roll a large heavy thing in or out of the garage, as I do with my small boat & trailer. Without enough room to get up a little speed, it can be tough to get the tires over something the size of a small speed bump.

Check the price of asphalt - it'll make your hair stand on end. :-(
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