SUNDAY AFTERNOON.

Evening Post, Volume CXVIII, Issue 96, 20 October 1934, Page 13

SUNDAY AFTERNOON.

Mr. David and Mr. Jonathan used to go for a short walk together over .the same route every Sunday afternoon. The distance scaled on a map was a whole number of miles without fractions, and they were able to make it keep them always one hour away from their homes. Now these two friends have ears, and the result is that they seldom walk at all. One of these cars can be driven at a speed sii miles' per hour more rapid than the.other,'and when they drive over the route of their (former Sunday walk, this car, takes 6x- | aetly one minute'less than the other one ion the journey. These • two velocities are also whole numbers of '-miles without fractions, and the problem is to discover what they are. BIKTHDAY PEESfcNTS. - Airs. Needy had her wealthy Brother staying with her for a few days; It is fifteen years since the last time he paid her a visit. Her youngest child, Amy, had a birthday, and the uncle, feeling that ho had not been doing his duty in tho matter of birthday, presents lately, mado this a pretext for giving.each of his nieces a cheque for the same amount. In the case of Amy, the amount was equivalent to a pound for every year of her age, the total paid, to Bessie and Clara amounted to only twelve shillings and sixpence for each year of their combined ages. The eldest girl, Clara, is the only one of the family whom he has seen before this visit, and he might have celebrated her birthday instead of Amy's, if he had arrived a month later. If he had then chosen to give the sauio

presents "as lie "now gave," tho "sum received by Clara would have been half as much for each year of her as Hie amount for each year .now given to \iny. What are the ages of the three girls, and how much did their uncio give- theini A PUZZLE IN WORDS. [ Those'five gentlemen, who 'have on former occasions shown so much interest in the peculiarities of certain words, were overheard a few days ago discussing their favourite subject. Each one had found a word of three syllables, which could be changed into another word by altering one letter not far from the middle. ■ The first man said that his word was an adjective moaning some-, thing not unlike early, but the change of one letter made it into a term signifying.value. .The second said his word was also an adjective, arid it implied finality rather than early occurrence, but the change of one letter made it into a laughing matter. The third man said his word' described an injury,. and could.be changed into, a disorderly state. The fourth said his word was one-which would be found in a, woi'k on physics, but after altering one letter it meant merely drawing something back again. The fifth said his word meant rather drawing things together, and could be changed into a word implying building up. Can readers find these words?: AN ARMCHAIR PROBLEM. Two men; accepted a contract to, dig ■ a ditch for £12. ,A. third maiU;Who had been without employment--for some time, asked permission to join theto, and was offered ten shillings a day. He refused this, so the agreement triads <was that each man should dig at a different part 'of theline, and that their separate contributions should bo hieasiired: and paid for in proportion to the fractions of the whole length which each man had dug by himself. The work,was.found to: be more troublesome than expected, and the result was tlie three nion took eight, days to finish the contract. They found that one of the. two original men could have dug the whole ditch in 20 days and' the other in 16 days. The question is to what extent did the third man profit My refusing the. offer, of ten. shillings per day? A GEOMETRICAL PUZZLE. A ladder, 8 feet 3 inches in. length, stands on level ground • and leans against a perpendicular wall, which it touches at a point 7 feet 3 inches above tho ground. Is there room for a bos, which is a 3ff-ihch cubfe;' to pass under this ladder, when' pne'. surf ace of. the cube rests on,the ground? The answer

ts readily-f'ouTHl" by 'drawing-- thc-ob* j jocts described to scale, but can readers discover a simple arithmetical solution? THE POSTMASTER'S PROBLEM. "Wo had a very strenuous afternoon," said the postmaster in our township a few days ago. "A largo number of persons are taking part in a competition, in which each" participant fcas to -send sixpence worth of stamps with'his entry. Shortly before closing time the supply of stamps was so short that we had to make up the sixpence, worth: *n. every way it is possible to do so." His friend asked what values of stamps wore kept in stock,, and "to this he.'replied readily that these include every multiple of a penny and also stamps at ■Id, l£d, and 2Jd. But in reply toaniother question, namely, in how many ways he had found it possible to supply sixpence worth, he was mjoi'e reticent, so that readers.;hayo,- : now tho chnnce. todiscover this.themselves. . . , -; .