4d. per B in 12 days, in what time can they finish it, both working together? Ans. 4 days. 44. A and B traded together; A put in 320L. for 5 months, B 460L. for three months, and they gained 100L. what is each man's share of the gain? Ans. ŞA's share is 532. 13s. 9d. + B's share is 46L. 6s. 2d. + 45. What is the value of a slab of marble, the length of which is 5 feet 7 inches, and the breadth 1 ot 10 inches, at 1 dollar per foot? Ans. $10.231. 46. A certain stone measures 4 feet 6 inches in length, 2 feet 9 inches in breadth, and 3 feet 4 inches in depth; how many solid feet does it contain? Ans. 41 feet 3 inches. 47. Shipped to Jamaica 550 pair of stockings, at 11s. 6d. per pair, and 460 yards of stuff , at 14d. per yard; in return for which I have received 46cwt. 3qrs. of sugar, at 24s. 6d. per cwt. and 1570lb. of indigo, at 2s. Ib. ; what remains due to me? Ans. 102L. 12s. 114d. 48. If the flash of an ordnance was observed just one minute and three seconds before the report, what was the distance; supposing the flash to be seen the instant of its going off, and admitting the sound to fly at the rate of 1142 feet in a second? Ans. 13 miles 5 fur. + 49. Which would be preferable, an annual rent of 876 dollars clear, for 12 years, to be received in quarterly payments, or 7200 dollars in hand, reckoning interest at 5 per cent. ? Ans. The annuity by 1272dols. + 50. A line 35 yards long will exactly reach from the top of a fort, standing on the brink of a river, to the opposite bank, known to be 27 yards from the foot of the wall; what is the height of the wall? Ans. 22 yards 93 inches + 51. Bought 120 apples at 2 for a penny, and 120 more at 3 for a penny, and sold them altogether at 5 for 2d.; what did I gain or lose by the bargain? Ans. Lost 4d. 52. A cistern for water has two cocks to supply it, by the first it may be filled in 45 minutes, and by the second in 55 minutes; it has likewise a discharging cock, by which it may, when full, be emptied in 30 3 minutes: now if these three cocks bė all left open when the water comes in, in what time will the cistern be filled? Ans. 2 hours, 21 min. 25 sec. 53. The account of a certain school is as follows, viz. of the boys learn geometry, š learn grammar, 1 learn arithmetic, o learn to write, and 9 learn to read: what number is there of each? 55 who learn geometry, 30 grammar, 24 Ans. arithmetic, 12 writing, and 9 reading. 54. The sales of certain goods amount to $1873.40; what sum is to be received for them allowing 21 per cent. for commission, and $ per cent. for prompt payment of the neat proceeds? Ans. $1821.994+ FINIS |