3. Two men and a boy were engaged to do a piece of work, one of the men could do it in 5 days, the other in 8 days, and the boy could do it in 10 days: how long would it take the three together to do it? Ans. 217.

4. If a man perform a journey in 221 days, when the days are 12 hours long, how many days will it take him to perform the same journey when the days are 15 hours long?

5. After laying out of my money, and of the remainder, I had 72 guineas left: how much had I at first? Ans. 120 guineas.

6. A reservoir has three pipes, the first can fill it in 12 days, the second in 11 days, and the third can empty it in 14 days: in what time will it be filled if they are all running together?

7. If the freight of 40 tierces of sugar, each weighing 31cwt., 150 miles, cost $42, what must be paid for the freight of 10hhd. of sugar, each weighing 12cwt. 50 miles? Ans. $12.

8. If a family of 14 persons spend $1120 in 8 months, how much will 9 of the same family spend in 5 months?

9. The quick step in marching is 2 paces per second, at 28 inches each: at what rate is that per hour, and how long will a troop be in reaching a place 20 miles distant, allowing a halt of half an hour for refreshment?

Ans. S rate 321 miles per hour; time 6hr. 47m. 84sec.

10. Two persons A and B are on the opposite sides of a wood which is 536 yards in circumference; they begin to travel in the same direction at the same moment; A goes at the rate of 11 yards per minute, and B at the rate of 34 yards in 3 minutes: the question is, how many times the quicker one must go round the wood before he overtakes the slower?

11. In the latitude of London, the distance round the earth measured on the parallel of latitude, is about 15550 miles. Now as the earth turns round in 23 hours 56 minutes, at what rate per hour does the city of London move from west to east? Ans. 649353 miles per hour.

12. A father left his son a fortune, of which he ran through in 8 months; of the remainder lasted him 12 months longer, when he had barely £820 left: what sum did his father leave him?

13. There are 1000 men besieged in a town with provisions for 5 weeks, allowing each man 16 ounces a day. If they are reinforced by 500 more and no relief can be offered till the end of 8 weeks, how many ounces must be given daily to each man? Ans. 63oz.

18

14. A father divided of his estate to one son, and 1 of the remainder to another, leaving the remainder to his widow. The difference of the childrens' legacies was £514 6s 8d: what was the widow's portion?

15. Two persons, A and B, depart at the same time, the one from Boston and the other from Hartford, distant about 100 miles. After 7 hours they meet on the road, when it appears that A had rode 1 miles per hour faster than B at what rate per hour did each traveller ride?

Ans. A 728, B 611 miles per hour. 16. What will be the cost of a piece of silver weighing 73lb. 5oz. 15pwt. at 5s 9d per ounce ? 17. If the penny loaf weighs 8 ounces when the bushel of wheat cost 7s 3d, what ought it to weigh when the wheat is 8s 4d per bushel? Ans. 6oz, 1536 dr. 18. If one acre of land costs £1 7s 8d., what will be the cost of 173A. 2R. 14P. at the same rate? 19. A gentleman's estate is worth what may he spend per day and annum?

100

£2107 12s a year· yet save £500 per Ans. £4 8s 15 d.

19

20. Four thousand soldiers were supplied with bread for 24 weeks, each man to receive 14oz. per day; but by some accident 210 barrels containing 2007b. each were spoiled what must each man receive in order that the remainder may last the same time?

21. Let us suppose the 4000 soldiers having one-fourteenth of their bread spoiled, to be put on an allowance of 13oz. of bread per day for 24 weeks: required the weight of their bread, good and spoiled, and the amount spoiled? Ans. { whole weight 5880007b.;

spoiled 4200016.

22. Suppose 4000 soldiers after losing 210 barrels of bread, each containing 2007b., were to subsist on 13oz. a. day for 24 weeks; had none been lost they might have received 14oz. a day: what was the whole weight, and how much did they receive?

23. Let us now suppose 4000 soldiers to lose one fourteenth of their bread, then to receive 13oz. per day for 24 weeks: what was the whole weight of their bread including the lost, and how much would each have received per day had none been spoiled?

14oz. per day had none been lost. 24. A certain amount of provisions will subsist an army of 3000 men for 30 days: if the army be increased by 2000, how long would the same provisions subsist it?

25. A merchant bought 42 pieces of cloth, each containing 20 yards, for which he paid $2520: he sold the cloth at $3 per yard, did he make or lose by the bargain? Ans. He neither made nor lost. 26. If 18 men can build 72 rods of wall in 4 days, how many rods will 38 build in 22 days?

27. If 8 barrels of flour will supply 240 men for 6 days, how long will 14 barrels supply 126 men? Ans. 20da.

28. The sum of $2500 is to be divided between two brothers, so that for every dollar received by the younger the older was to receive $4: how much did each receive?

29. If of a pole stands in the mud, 1 foot in the water, and in the air, or above the water, what is the length of the pole?

30. If 50 persons consume 600 bushels of wheat in 1 year, how much will 278 persons consume in 7 years?

PRACTICE.

1. What will be the cost of 752 yards of cloth at $11⁄2 per yard?

2. What will be the cost of 392 yards of cotton at 1s 6d per yard? Ans. £29 8s.

3. What will be the cost of 28 yards of broadcloth at £1 4s 6d per yard?

4 What will be the cost of 2000 quills at cent per quill?

Ans. $10.

5. What will be the cost of 1800 lead pencils at 3 cents

apiece?

6. What will 14 Ell English 2 nails of broadcloth cost at £2 3s 8d per yard? Ans. £38 9s 7d. 7. What will 31cwt 1qr. 67b. of sugar cost at 1s per pound?

8. What will 102 acres of land come to, at £6 4s 4d per acre? Ans. £634 2s. 9. What will be the cost of 19gal. 1qt. 2gi. of wine at 5s 4d per quart?

10. What will be the cost of 72 dozen of eggs at 1s 3d per dozen ? Ans. £4 10s 11. What will 393 pound of cheese come to, at 1s 2d per pound?

12. What will be the cost of 28 yards of cloth, at $91 per yard? Ans. 270,75. 13. What will 288 pounds of rice come to, at 3d per pound?

14. What will be the cost of 924 yards of linen at 75 cents per yard? Ans. $693 15. What will 154 tons of hay come to, at $12 per ton?

16. What will be the cost of 876 bushels of apples, at 311 cents per bushel? Ans. 273,75. 17. What is the cost of 280 yards of tape, at 21 cents per yard?

18. What is the cost of 40 pounds of soap, at 63 cents per pound? Ans. 2,70. 19. What will be the cost of 2hhd. 5gal. 3qt. 2gi. of molasses, at 12 cents per quart?

20. What will be the cost of 55bu. 3pk. 5qt. of wheat, at 10s 2d 3far per bushel? Ans. £28 11s 10d 182d. 21. What is the value of 3096 yards of tape, at 21d per yard? Ans. £29 Os 6d. 22. What is the cost of 7422 pounds of sugar, at 151⁄2d per pound?

SIMPLE INTEREST.

1. What is the interest, at 6 per cent, on $178,50 for 50 years? Ans. 535,50. 2. What is the amount of $1433,14 after bearing interest for 8 years, at 6 per cent?

3. What is the interest on $957,08 for 12 years, at 31 per cent? Ans. 401,97 3+. 4. What is the interest on $750,90 for 84 months, at 7 per cent?

5. What is the interest on $8099,74 for 48 months, at 5 per cent per annum? Ans. 1619,94 8. 6. What is the interest on $179,50 for 60 months, at 6 per cent per annum?

7. What is the interest on $37596,42 for 48 months, at 6 per cent per annum?" Ans. $9023,140+. 8. What is the interest on $7953,70 for 27 months, at 6 per cent per annum ?

9. What is the interest on $0,75 for 150 years, at 6 per cent per annum? Ans. 6,75. 10. What is the amount of $63,50 for 200 years, at 6

per cent per annum ?

11. What is the interest on $1639,50 for 11 months, at 6 per cent per annum? Ans. $90,17 2+. 12. What is the interest on $64,36 for 72 months, at 6 per cent per annum?

13. What is the interest on $33,50 for 7 months and 17 days, at 7 per cent per annum ? Ans. $1,47 8+.

14. What is the interest on $102,34 for 9 months and 29 days, at 4 per cent per annum?

15. What is the interest on $172 for 99 months and 19 days, at 121 per cent per annum? Ans. $178,50+. 16. What is the interest on $288 for 5 days, at 6 per cent per annum?

17. What is the interest on $1613,80 for 1 year 10 months and 10 days, at 6 per cent per annum? Ans. $180,207+. 18. What is the interest on $400, for 10 years 3 months and 6 days, at 7 per cent per annum? Ans. $287,46 6+.