He can't now create a right which hasn't existed,obviously. I'd tell him that he has no right, and certainly would not invite him to contribute because that suggests that you are acknowledging that he has a right and you are merely asking him for his share, due in consequence of his exercising it..Even if there was once such a right, not dependent on his ownership of the land on which the path is; which that is clearly not a claim he can now make, you being shown as the owner; he would need to show some legal deed, some right granted in the conveyance to him, and/ or that it is a right which he has exercised continuously, more or less, and its not some theoretical, fanciful right. The technical term for such a right is an easement. He would, in any case, have to show that he has an easement established which allows the passage of, and use by, readimix lorries and the like; an easement might only be for passage on foot for example
A solicitor's letter, telling him that he has no such right, he is trespassing on your land, and if he continues to do so, you will feel the need for to apply an injunction in court to stop him, and additionally and in the meantime , you will hold him liable and claim damages for all such harm to the drive which his misuse has occasioned, should produce satisfaction. Take a solicitor's advice; I suspect you will find that that is a course which is professionally advised