4. A man had a plot of ground 20 yards long and 12 yards wide, which he planted in cabbage. How many plants did he require, if the rows, which ran lengthwise, were 2 feet apart and 2 feet from the fence surrounding the plot, and the plants in the rows 16 inches from each other and from the fence?

Get the correct number of rows, and the correct number of plants in a row. How many plants would have been needed if the rows ran crosswise?

5. How long would it take a person to count a million silver dollars, at the rate of 100 a minute, and working 8 hours a day?

6. The front wheel of a wagon is 13 ft. 4 in. in circumference. How many revolutions will it make in a journey of 14 miles? How many more revolutions will it make than the hind wheel, the circumference of the latter being 17 ft. 6 in.?

7. The wheels of an engine being 16 ft. 8 in. in circumference, and the number of revolutions 150 per minute, how far does it go in an hour? Give answer in miles and rods.

8. If the equatorial circumference of the earth is 25,000 miles, how many miles apart are two places on the equator, the distance between them being 20°?

9. What is the length of a degree on a circle whose diameter is 18 feet?

The circumference = diameter x 3.1416.

10. The 60th parallel of latitude is a circle about one-half as long as the equator. How far due east of Christiania is St. Petersburg, both situated on this parallel, the former being 10° east of Greenwich, and the latter 30° east?

11. How many miles north of the equator is a place in latitude 46° 22′ 30"? Take 691 miles to a degree.

12. Two places in latitude 45° are 22° 30′ apart, measured on that parallel. Find the distance in miles, assuming the 45th parallel to be a circle .7071 times the length of the equator, and considering the length of the latter to be 25,000 miles.

996. Time Drafts.

$987-65.

NEW ORLEANS, June 15, 1893.

At three days' sight, pay to the order of John D. Hallock, Nine Hundred Eighty-seven 6 Dollars, value received, and charge to account of

TO NATIONAL PARK BANK,

New York.

65 100

FRANK PHILLIPS.

When Mr. Hallock receives the above, he presents it to the National Park Bank for acceptance. The proper bank official writes across the face of the draft in red ink "Accepted," with the date, say “June 18, 1893,” and signs his name. Three days thereafter, plus three days of grace, or June 24, the draft will be payable.

997. Sight drafts are usually not allowed days of grace. Time drafts are generally allowed three days of grace. (See Appendix.)

998. The premium on the above draft at $1.50 per $1,000 is calculated on the face of the draft, and amounts to $1.48.

999. Since it is not payable until six days after acceptance, the interest (or bank discount) for that time is deducted.

Interest on $987-5% for 6 days at 6% = $.99.

Cost of draft $987.65 + $1.48-$.99 $988.14.

N.B. Take 6% as the interest rate, unless a different rate be expressed.

1000. Slate Exercises.

1. What will I have to pay for a 90-days draft on San Francisco for $840, at $1.75 premium per $1,000?

2. Face $400; 30 days' sight; discount %. Cost?

3. Face $560; 60 days' sight; premium 50 per $1,000. Find cost.

4. What will be the cost of a sight draft for $625.38 at 7¢ discount per $1,000?

5. Find the cost of a 60-days draft for x dollars, premium 25 per $1,000.

6. Find the cost of an x-day draft for $1,200, discount 1%.

7. Find the cost of a 30-days draft for $1,600, premium x dollars per $1,000.

8. Paid $1,188.90 for a 60-days draft, at 1% premium. What was the face of the draft?

9. A time draft for $1,800 at $1 premium per $1,000, cost $1791.90. At how many days' sight was it drawn?

10. At what rate did I purchase a 90-days draft for $900, its cost being $884.70?

LONGITUDE AND TIME.

NOTE. This topic should be taught in connection with the study of Mathematical Geography. The globe should be used to show the pupils that all places on the same meridian have the same time, that a difference in longitude of 15 degrees produces a difference in time of 1 hour, and that the more easterly of two places has the later time.

1001. Oral Problems.

1. The difference in time being 1 hour for each 15 degrees, find the difference in longitude between two cities differing in time 3 hours.

2. Two places differ in longitude 61 degrees. What is their difference in time?

3. London is 75° east of Philadelphia. When it is 1 o'clock at Philadelphia, what is the time at London?

4. When it is 2 P.M. at London, what is the time at Philadelphia?

5. When it is noon at a city 25 degrees west of Vienna, what is the time at the latter place?

6. How many degrees of longitude correspond to a time difference of 3 hours 40 minutes?

7. What is the difference in longitude between Philadelphia, 75° west longitude, and St. Petersburg, 30° east longitude?

8. When it is 3 P.M. at St. Petersburg, what is the time at Philadelphia?

9. Washington is in 77° west longitude, and uses "standard time," that is, the time of 75° west longitude. What is the difference between the correct time at Washington -and its clock time?

10. A town in 84° west longitude uses standard time (of 90°). What is the correct time when the clocks are striking 12, noon?

1002. Slate Problems.

1. Find the difference in longitude between two places differing in time 3 hr. 44 min.

2. Two places differ in longitude 37° 18'. What is their difference in time?

3. Chicago is 87° 35' west of Greenwich. What is the difference in time between the two places?

Is it earlier or later than noon at Chicago when it is noon at Greenwich? Why?

What is the standard time at Chicago when it is 1 P.M. at Greenwich?

4. When a captain's observation of the sun shows that it is exactly noon, the ship's chronometer, keeping Greenwich time, reads 30 minutes past 2 P.M. How many degrees west of Green

wich is the vessel?

5. Find the difference in time between two places in longitude 74° 31' and 93° 14' west of Greenwich, respectively.

6. When it is noon at a place 11° east of Greenwich, it is 1.30 P.M. at another place. Find the longitude of the latter place.

7. A train ran from New York to San Francisco, 3,313.5 miles, in 3 da. 12 hr. 17 min. How many miles per hour did it average?

8. If for $6 I can have 1,200 pounds carried 36 miles, how many pounds can I have carried 24 miles for the same money?

9. At 80 per ounce, what is the value of 36 ingots of silver, each weighing 2 lb. 10 oz. 15 pwt.?

10. Find 30 per cent of 27 yards 8 inches.

11. The solid contents of a block 12 feet 6 inches wide and 3 feet 9 inches thick are 27 cubic yards 1 cubic foot 810 cubic inches. Required its length.

12. A farmer sold 237 bushels 3 pecks of wheat, which was 48 per cent of his crop. How many bushels, pecks, etc., did he have left?

(48% is given; you have to find what %? What part of 48% added to itself will give the required per cent? Do not find the whole crop.)

13. How many spoons, each weighing 2 ounces 12 pennyweights, can be made from 4 pounds 4 ounces of silver?

14. A man travels due west, on the 45th parallel of latitude, 34 miles per hour for 24 hours. How many degrees has he traveled, the length of a degree being 48.96 miles?

1003. Oral Problems.

REVIEW.

1. A puts $600 into business; B, $400; the profits are $500. What is the share of each?

2. Two boys hire a camera for 26 weeks, paying $5.20. How much should be paid by the boy that uses it 12 weeks?

3. New Orleans is 90° west of Greenwich. When it is 2 P.M. at the latter place, what is the time at New Orleans?