"Look at the map again. Those two counties lie west of the point at which the road must be turned south if it is to be diverted to Paducah. If we fail to build across that county line by noon of the fifteenth of next March, the subscriptions of both those counties will be forfeited. Then Tandy will step in and offer the company that is building the line a much larger subscription of some sort from Paducah and from his Memphis road, as an inducement to shorten the line by taking it to Paducah instead of Cairo."

"That would ruin Cairo?" the girl asked, anxiously.

"It would be a terrible blow to the city's prosperity. But," looking at his watch, "I must lay this matter before Hallam and Stafford to-night, late as it is."

Then, going to the little telegraph instrument which, for his own convenience, he had installed in Barbara's house, he called Captain Hallam out of bed and clicked off the message:

The milk in the cocoanut is accounted for. I must see you and Stafford to-night, without fail. Summon him. I'll go up to your house at once.

It did not require much time or many words for Duncan to explain the situation as he now understood it. Nor was there the slightest ground for doubt that the solution reached was altogether the correct one.

"It's a deep game he's been playing," said Hallam.

"It is one of the finest combinations I ever heard of," responded Stafford. "You've a mighty long head, Duncan, to work out such a puzzle."

"Don't be too complimentary to my head. I didn't work it out," responded the younger man.

"You didn't? Who did, then?"