He took a piece of paper and wrote down the hours at which they definitely knew the manufacturer’s whereabouts. At 7.30 on Tuesday evening he was in London at Johnson’s carting establishment in Waterloo Road. From 10.00 till 11.00 next morning, Wednesday, he was with Hill, getting the cask from Waterloo to the shed. He could not have left London in the interval, so this meant that he must have been in the English capital from 7.30 o’clock on Tuesday evening till 11.00 on Wednesday morning. Then he was at the Hôtel Maximilian in Brussels at 11.00 on that same Wednesday evening. So much was certain beyond doubt or question.

Did these hours work in? On Tuesday, frankly, they did not. What about Wednesday? Could a man who was in London at 11.00 in the morning be in Brussels at 11.00 the same evening? La Touche got his Continental Bradshaw. Here it was. London depart 2.20 p.m.; Brussels arrive 10.25 p.m. That seemed all right. A traveller arriving by that train would reach the Hôtel Maximilian ‘about 11.00.’ Then La Touche remembered that Boirac’s account of how he spent this day had not been substantiated. He had told Lefarge he had gone to his brother’s house at Malines, having forgotten that the latter was in Sweden. No confirmation of that statement was forthcoming. Neither the caretaker nor any one else had seen the manufacturer. La Touche was not long in coming to the conclusion he had never been there at all. No, he had crossed from London by the 2.20.

Then the detective recalled the telephone. A message had been sent by Boirac from one of the cafés in the old town, asking the hotel clerk to reserve a room. That call had been received about eight o’clock. But at eight o’clock Boirac was not in the old town. He was on his journey from London.

La Touche took up his Bradshaw again. Where would a traveller by the 2.20 p.m. from Charing Cross be at eight o’clock? And then like a flash he understood. The boat arrived at Ostend at 7.30 p.m. and the Brussels train did not leave until 8.40. He had telephoned from Ostend!

So that was it! A simple plan, but how ingenious! And then La Touche remembered that Lefarge had been quite unable to confirm the statement that Boirac had dined at the café in the Boulevard Anspach, or had been present at Les Troyens in the Théâtre de la Monnaie. No. He was on the right track at last.

The Wednesday was now accounted for, but there still remained the terrible difficulty of the Tuesday. What about the café at Charenton?

And then La Touche got another of his inspirations. He had solved the Wednesday telephone trick. Could that on Tuesday be explained in the same way?

He had already noted that a traveller by the train leaving Paris at 12.00 noon and arriving at Victoria at 7.10 could just reach Waterloo Road by 7.30. Thinking again over the point, he suddenly saw the significance of the hour of the call at the carting establishment. It was late. A man wishing to do business there would have gone earlier, had he been able. But this man was not able. He had only reached the city at 7.10.

He turned back to the telephone calls. Where, he asked himself with growing excitement, would a passenger by the 12.00 noon from Paris be at 2.30? And then he was dashed with disappointment. That train did not reach Calais till 3.31 p.m., and at 2.30 it must have been running at full speed somewhere between Abbeville and Boulogne. Boirac could not have telephoned from the train. Therefore he could not have travelled by it.

La Touche had hoped to find that, adopting the same manœuvre on each day, the manufacturer had telephoned from some station en route, presumably Calais. But that apparently was not so. At the same time, the detective could not but feel he was getting near the truth.