GIRLS AND BOYS.

Evening Post, Volume CXVIII, Issue 114, 10 November 1934, Page 15

GIRLS AND BOYS.

There are fifty cows on the farm to which this problem refeis, and tlio iamily ,I'Jny a httlo gamo among themselves, namply, that each child claims ccitam 'of ,tlie cows as his or her own. The names of the children are: Alfred,l Bill, Chns, Doiothy, and Ethel. AM fro<l, who owns tho largest number, has as many as Dorothy and Ethel together, and tho boys have .two cows more than the girls have. One cow in every five belongs to Chris, that is admitted, hut is Chns a boy or a girl? AY OLD STORY BEVTVED, In turning over some magazines and papers jn a second-hand book shop, the writer found an old chestnut revived. The story in an abbreviated form is that a schoolboy was asked: "If your father can erect a fence in live days, and your uncle in eight days, how many will they require if they work together?" His reply was to the effect that the problem was insolvable, because* so much timt> would be consumed in preliminary argument, that it was qiuto impossible to say when a start would bo made. Tho excuse offered for repeating this antiquity is that it affords material .for an interesting problem. Let the time spent in mutual agreement bo equal to that in which the partners, if really working, could finish one-tenth of the job. Let the time spent by father in abusing undo be equal to that in which* he alone could complete one-twenty-fifth of the job. And finally, the time spent by uncle in general faultfinding shall be equal to that in which he alone could finish one-twenty-fourth of the fence. ' Now, how long will it take them to erect the fence, including the time they "will losi in thorny described. THE PRICE OF TEA. • | Tho storekeeper in our township 01-\ fered A blend of ten in ornamental] canisters, holding 1, 2, 3, 4, and 51b. I The cost of tho tea was always the | ■am* per pound, but the price charged | for the canisters was computed, in quite * different manner. Each size cost just half as much again as the size in*--' mediately below it. One of his cus-, tomers had already purchased a ftve-i pound canister, when, she noticed the I one pound-»l«e more carefully, and admired, 'the pattern i«o, much, .that, »he asked permisswn'to change her mind, and take five ■maU'ones/,each( | of which cost two' shillings a*d tenpence^ instead of one large one. To this no objection, was raised, bu*,th« Jadywas rather surprised,', when one halfpenny of the money > she had. paid was returned to hn. What were-the price»>* the tea 'and,of { the csfeiatersi '." „> t 1 W."P. liTe«' r la k'hOUMi'cioK beside a railway line., .There, i« • fI».J station a shorr.aistanc<f'up',the',?nie at which trains seldom atop, but that have to whistle when they pail it. When the trains come from the direction of the flag station, Mr. P. hears the whistle 8 minutes 41 seconds before they pass his house. When they are moving in the contrary direction, the grade is uphill, and the speed at'which they travel is reduced by one mile per hour. In this case, ho hears the whistle 0 minutes and 10 seconds after the train has passed. How far away is the flag station 1 , THE BUS DRIVBR'S PROBLEM. At a hotel much frequented by tourists, the bus used for taking passengers to and from the railway station wai idle most of the day. The man employed as driver suggested to the owner that they might earn a littlp money by taking persons staying in the hotel to a beauty spot not far awajr at cheap and tempting fares. H« wsi allowed to try the experiment during one calendar month. When he made hit report as to the number of persona he had carried his employer laughed at the total, which was composed of the'same numeral written four times. The bus had made the joiitney three times every day, including Sunday, and every seat had been occupied, except in tew of these trips, in each of which one seat had boon vacant. Th« driver had been offered his choice of payment at the rate of one thilling per trip, % or 10 per cent, of the money collected. He chose the percentage, beeanse he, found it brought him in nearly 2ii pence per trip more than the other of-1 for. -Two'quostionB1 are asked. How many passengers does the bus holA, and what was the fare charged! ARMCHAIR PROBLEM. ■> |

A school committee was appealing for funds to be used for their, pic me. One of the persons whom they inte^ viewed had just received a letter containing a small cheque, and this he handed to his visitors. Tha number of shillings shown was twice as great ss the number of pounds, md the number of pence, was twice a* grea.t »s the number, of shillings. The recipient mentioned these dotails to the next person on whom they called. This waa a proprietor of motor-cars and buses, and the hope of the committee was that he would give them very easy terms for his. services in conveying them to the place-chosen for the picnic, which was about an hourV journey distant. He offered to take them all there and bring them back tax the amount of the cheque, and this was equivalent to, charging eightpenco for every mile he carried the whole party. How far away wa* the" place they had chosen for the picnic! . SOLUTIONS. Cyclhrt.—He rode at 17 miles pcl1 hour. In CiKnp There were 60 men. The flrgt distribution was '55 and S, then 54 and C, and continuing thus to 80 and 30. '

Mob of Saw.—lt is simpler to find the price per head. The amount is 3136 shillings, divide by 16, and take out square rdot of quotient; which gives 14 shillings per head. After this it is easy to see there were 224 in the, mob. Armchair Problems.—(l) 72 hoggets, 270 wethoTs, 658 ewes, or 156 hoggets, 585 wethers, 259 ewes. The second solution is rather difficult for armchair work. (2) The statement about the library is capable of two interpretations. One of them makes A's house 11 minutes' walk from U»e station, ftnd the other only one minute's w»lk. (3) 83 yards. Argumentative Problem. —D. is not first, because her sister beat her, and not fifth, because sho beat C B,' had four times as many votes as A., and p. also bqat A., but l by a 'Smaller number, therefore B. beat E., and E. beat* A. But it follows now that ]3. is first, because all the ofiorr, are eliminated, Then D., who is shown O.s letter to be sister ,to 8., is yecoml. A, uses an expression which implies that she did better than 0., but it has been shown that E. beat A. This is confirmed by B.s remarks about Hi, which indicate that she- herself beat 8,, but only by a narrow margin. Thus it is shown that E. is third, A. fourth, and C, flftkj