“‘’Twas three hours past high noon when we left our hostelry,’ the young man said, musingly. ‘We shall scarce be back by supper-time. Perchance mine host will roundly deny us all food!’
“‘He will chide our tardy return,’ was the grave reply, ‘and such a rebuke will be meet.’
“‘A brave conceit!’ cried the other, with a merry laugh. ‘And should we bid him bring us yet another course, I trow his answer will be tart!’
“‘We shall but get our deserts,’ sighed the older knight, who had never seen a joke in his life, and was somewhat displeased at his companion’s untimely levity. ‘’Twill be nine of the clock,’ he added in an undertone, ‘by the time we regain our hostelry. Full many a mile have we plodded this day!’
“‘How many? How many?’ cried the eager youth, ever athirst for knowledge.
“The old man was silent.
“‘Tell me,’ he answered after a moment’s thought, ‘what time it was when we stood together on yonder peak. Not exact to the minute!’ he added, hastily, reading a protest in the young man’s face. ‘An’ thy guess be within one poor half hour of the mark, ’tis all I ask of thy mother’s son! Then will I tell thee, true to the last inch, how far we shall have trudged betwixt three and nine of the clock.’
“A groan was the young man’s only reply, while his convulsed features and the deep wrinkles that chased each other across his manly brow revealed the abyss of arithmetical agony into which one chance question had plunged him.”
The problem in plain English is this: “Two travelers spend from three o’clock till nine in walking along a level road, up a hill, and home again, their pace on the level being four miles an hour, up hill three, and down hill six. Find distance walked: also (within half an hour) the time of reaching top of hill.”
Answer. “Twenty-four miles: half-past six.”