“Tcha! Tcha!” cried Poirot irritably. “You argue like a child. If Miss Howard were capable of poisoning the old lady, she would be quite equally capable of simulating devotion. No, we must look elsewhere. You are perfectly correct in your assumption that her vehemence against Alfred Inglethorp is too violent to be natural; but you are quite wrong in the deduction you draw from it. I have drawn my own deductions, which I believe to be correct, but I will not speak of them at present.” He paused a minute, then went on. “Now, to my way of thinking, there is one insuperable objection to Miss Howard’s being the murderess.”

“And that is?”

“That in no possible way could Mrs. Inglethorp’s death benefit Miss Howard. Now there is no murder without a motive.”

I reflected.