302. Examples for Written Work. 126. How much wood is there in 5 loads, each containing 1 cd. 5 cu. ft.? 127. How much coal is there in 4 loads, each containing 1 ton 1400 lb.? 128. If it takes 3 lengths of a string 36 ft. 9 in. long and 4 ft. 2 in. more to measure the depth of a lot, what is its depth? 129. Find the contents of 250 preserve jars if each jar contains 1 pt. 3 gi. 130. What quantity of peaches is brought into New York in one car load of 450 baskets, it each basket contains 1 pk. 6 qt.? 131. How much earth is removed in 15 loads, each con taining 1 cu. yd. 201⁄2 cu. ft. ? 132 How much glass is there in 24 windows of 12 panes each, if each pane contains 2 sq. ft. 8 sq. in.? 133. If 4 A. 8 sq. rd. is divided into 6 equal lots, what is the size of each? 134. A farmer brought 5 bu. 3 pk. of corn to mill. L the miller took part as toll, how much did he take? 135. When an express train travels 100 miles in 2 h. 30 min., what is its average time per mile? 136. If a horse is fed 12 quarts of oats a day, how many days will 6 bu. 4 pk. last him? NOTE.Change 6 bu. 4 pk. to quarts before dividing. 137. How many barrels, each holding 2 bu. 3 pk., will it take to hold 100 bushels of oysters, and how many pecks remain ? 138. A dealer has 3 hogsheads of mineral water, each containing 63 gallons, which he wishes to put into bottles holdng 1 gal. 3 qt. 1 pt. each. How many bottles can he fill? 139. Allowing for a horseshoe 14 ounces of iron, how many horseshoes can be made from 60 pounds? 140. How many cups, each weighing 7 oz. 15 pwt., can be made from 60 pounds of silver? 141. Allowing 24 oz. of gold to a case, how many watchcases can be made from 2 lb. 10 oz. of gold, and how many rings, each 3 pwt., can be made from the gold remaining? 142. If sound moves 1120 feet per second, how long will it be in crossing a river 3 miles wide? 143. How many times will a carriage wheel, 7 feet 4 inches in circumference, turn in going 0.125 of a mile? 144. The distance from Boston to Portland is 110 miles. How many times will an engine wheel 18 feet 6 inches in circumference turn in going and returning? 145. How many revolutions an hour will a wheel make that turns 300° 40′ in every second of time? 146. In how many days can 12 dozen garments be stitched, allowing 2 h. 15 min. to each, and 8 working hours to a day? LONGITUDE AND TIME. 303. As the earth turns upon its axis once in 24 hours, it follows that of 360°, or 15° of longitude, must pass under the sun in 1 hour, and of 15°, or 15', must pass under the sun in 1 minute of time, and of 15', or 15", must pass under the sun in 1 second of time. Hence, A difference in longitude Of 15° makes a difference of 1 hour in solar time. All places on any given meridian have the same solar time, which is faster than the time of all places west of that meridian, and slower than the time of all places east of it. This difference of time caused such inconvenience to the railroads and the traveling public, that in November, 1883, the principal cities and railroads of the United States adopted what is called "Standard Time." This time is now generally used throughout the country. FR. AR. - 12 Standard Time. 304. By the system of standard time, four meridians 15° apart are established as central meridians; reckoning from Greenwich, these are the 75th, the 90th, the 105th, and the 120th. The local time of each of these meridians is taken as the standard time for all places within 7 degrees on either side. Thus there are four belts, in each of which the time by the clock is one hour ahead of that of the belt next west of it, and one hour behind that of the belt next east of it. These time belts are called the Eastern, the Central, the Mountain, and the Pacific belts. a. Trace on your map the 75th meridian; the 90th meridian. Near what large city does each pass? b. In the same way trace the 105th meridian. c. The 120th meridian forms the western boundary of what state? d. Trace the dividing line between the Eastern and the Central belts, and tell what states lie mostly in the Eastern belt. e. What states lie mostly in the Central belt? The Mountain belt? The Pacific belt? f. When it is 10 o'clock by standard time in the Eastern belt, what is the time in the Central belt? The Mountain belt? The Pacific belt? Longitude and Solar Time. 305. From Art. 303 is derived the following Rule. To find the difference of longitude between any two places when the difference of solar time is known: Multiply the difference of time between the two places, expressed in hours, minutes, and seconds, by 15. The product will express the difference of longitude in degrees, minutes, and seconds. Examples for Written Work 306. What is the difference in longitude between two places, the difference in their solar time being 147. 4 h. 17 m. ? 148. 2 h. 9 m.? 149. 6 h. 13 m. 10 s.? 150. 1 h. 5 m. 25 s.? In what longitude from Greenwich is a place whose noon compared with that of Greenwich is 151. 3 hours earlier? 152. 5 minutes later? 153. 1 hour 12 minutes later? 154. 4 hours 8 minutes earlier? 155. A and B sailed together from San Francisco. A kept his watch by San Francisco time, and B set his by the sun every day. After 10 days, A's watch was 4 hours 39 minutes faster than B's. In what longitude were they then, the longitude of San Francisco being 122° 26' 15" west? 307. From Art. 303 is also derived the following Rule. To find the difference in time between any two places when the difference in longitude is known: Divide the difference in longitude, expressed in degrees, minutes, and seconds, by 15. The quotient will express the difference of solar time in hours, minutes, and seconds. Examples for Written Work. 308. Using the longitude given in Article 296, find the difference in time between 156. Boston and Paris. 157. Paris and Canton. 158. New York and London. 159. London and San Francisco. 160. Canton and San Francisco. 161. New York and Canton. The longitude of Washington is 77° 2′ 48′′ W. When it is 12 o'clock by solar time in Washington, what is the time 162. In Paris? 163. In London ? 164. In 92° 40' 24" east? 165. In San Francisco? What are the kinds of measure of extension? Show how from long measure the measures of surface arise. Show how the units of cubic measure arise. What is the standard unit of length? Of weight? Of liquid measure? Of dry measure? Define a circle: circum 'erence; arc· diameter; radius; angle. Name the different kinds of angles. How are angles measured? How are compound numbers added, subtracted, multiplied, and divided? What is the difference between these operations upon compound numbers and upon simple numbers ? How is time between two dates found? What years are leap years? How is difference of latitude found? Of longitude? Describe Standard Time. In which of the four great time belts do you live? What is the difference of longitude between the central meridian of this belt and the city or town in which you live? When it is 12 o'clock by the sun where you reside, what is the standard time? Review Exercises. 309. In place of x in the following, supply its value: |