The justice and propriety of a uniform rate was further shown, but in a smaller degree, by the fact that the relative cost of transmission of letters under the old system was not always dependent on the distance the mails were carried. Thus, the Edinburgh mail, the longest and most important of all, cost 5_l._ for each journey. Calculating the proportionate weight of bags, letters, and newspapers, Mr. Hill[84] arrived at the absolute cost of carrying a newspaper of an average weight of 1½ oz. at one-sixth of a penny, and that of a letter of an average weight of ¼ oz. at one-thirty-sixth of a penny. These sums being the full cost for the whole distance, Mr. Hill assumed, fairly enough, that the same rating would do for any place on the road. It was admitted on all hands, that the chief labour was expended in making up, opening, and delivering the mails; therefore the fact whether it was carried one mile or a hundred made comparatively little difference in the expenditure of the office. The expenses and trouble being much the same, perhaps _even less_ at Edinburgh than at some intermediate point, why should the charges be so different? But the case could be made still stronger. The mail for Louth, containing as it did comparatively few letters, cost the Post-Office authorities, as the simple expense of transit, one penny-farthing per letter. Thus, an Edinburgh letter, costing the Post-Office an infinitesimal fraction of a farthing, was charged one shilling and three-halfpence to the public, while a letter for Louth, costing the Post-Office fifty times as much, was charged to the public at the rate of tenpence! Nothing was clearer, therefore, that if Mr. Hill's propositions were opposed (and his opponents did not advocate the payment according to the actual cost of transit), that those who were adverse to them must fall into the absurdity of recognising as just an arrangement which charged the highest price for the cheapest business! At first sight it looked extravagant, that persons residing at Penzance or near the Giant's Causeway, at Watford or Wick, should pay equal postage for their letters. The intrinsic _value_ of the conveyance of a letter, it must be admitted, is a very different thing from its _cost_, the value being exactly equal to the time, trouble, and expense saved to the correspondents, of which, perhaps, the only _measure_ appeared to be the actual distance. Looked at more narrowly, however, in the clear light of Mr. Hill's investigations, it became obvious that it was really "a nearer approximation to perfect justice"[85] to allow distant places to feel the benefits of the measure; passing over the little inequalities to which it might give rise; while all might pay such a sum as would cover the expenses in each and every case.[86]