What about the problem that BTC can only cope with so many transactions a second (can't remember exactly how many offhand) - can
that be overcome?
Currently the maximum block size is 1MB. With average 10 minutes a block, it is about 7 transactions per second.
You can find more info here.
https://bitcointalk.org/index.php?topic=352118.0WHAT!!!!!!???
Only 7?

Yes, the limit is 7 tps now.
But, the current situation is, we are not even close to that.
You can find that the average block size now is still lower than 300 KB on
https://blockr.io/charts while the limit is 1 MB.