CAPACITY 12. From 3 bu. 9 pk. 4 qt. take 1 bu. 2 pk. 5 qt. 15. From 17 gal. take 11 gal. 1 qt. 1 pt. 16. From 37 bu. 2 pk. 4 qt. take 17 bu. 3 pk. 7 qt. 17. From 29 bu. 1 pk. 2 qt. take 19 bu. 3 pk. 5 qt. 18. From 37 gal. take 17 gal. 1 qt. 1 pt. 19. From 134 gal. take 112 gal. 3 qt. 1 pt. 20. From 43 bu. take 3 pk. 4 qt. 5 pt. 21. From 11 gal. take quarts. gal, and express the result in 22. From 1 bu. take bu. and express the result in quarts. 23. From 51 bu. take 1 bu. and express the result in quarts. TIME 24. From 3 da. 4 hr. 11 min. take 1 da. 7 hr. 14 min. 25. From 11 da. 5 hr. 10 min. take 4 da. 11 hr. 19 min. 26. Almanacs give the time of sunrise in Florida, Louisiana, and Texas on March 5 at 6.22 A.M., and that of sunset as 6.02 P.M. Find the length of the day. 27. On April 1, 1903, the moon rose at 10.28 P.M. On April 4 following, it rose at 12.28 A.M. How many hours and minutes earlier did it rise on April 1 than on April 4? *The abbreviations A.M. and P.M. stand for forenoon and afternoon respectively. The dot after the 6 is to separate hours from minutes. If there were seconds given, a dot would be used to separate the minutes from the seconds; thus, 5.13.12 P.M. means 13 minutes and 12 seconds after 5 o'clock in the afternoon. Time between events happening in two different years. Example. How many years, months, and days were there between Aug. 27, 1880, and Jan. 22, 1901 ? YR. MO. ᎠᎪ. 1901 1 22 1880 8 20 4 27 25 Since January is the first month of the year and August is the eighth month of the year, we write 1 instead of January and 8 instead of August. In finding the difference, a month is taken as 30 days. The work is then performed as in the subtraction of compound quantities. EXERCISE 57 1. The battle of New Orleans was fought on Jan. 8, 1815. Find the time from that date to the present day. 2. The first telegraph message was sent by Professor Morse on May 24, 1844. Find the time from that date to the present day. 3. The Spanish fleet under Cervera was destroyed near Santiago on July 3, 1898. Find the time from that date to Feb. 1, 1903. 4. The Mecklenburg Declaration of Independence was signed May 20, 1775. Find the time from this date to the surrender of Cornwallis, Oct. 19, 1781. 5. The following named men were born and died on the dates specified. Find how long each lived. MULTIPLICATION OF COMPOUND QUANTITIES Multiply 5 yd. 2 ft. 10 in. by 7. = Multiply 10 in. by 7 and get 70 in. 5 ft. 10 in. Write 10 in. and carry 5 ft. 7 times 2 ft. are 14 ft. 14 ft. and 5 ft. Carry 6 yd. 7 times 5 yd. are 35 yd. 17. Multiply ğ T. by 9 and express the result in pounds. 18. Multiply mile by 19 and give the result in feet. DIVISION OF COMPOUND QUANTITIES Divide 97° 10' 50" by 8. The eighth part of 97° is 12°, with a remainder of 1°. 1° 10' 70'. The eighth part of 70' is 8', with a remainder 8 into 410 goes 51 times. 8)97° 10' 50" 7. How many times is 231 cu. in. contained in 1 cu. ft. 582 cu. in.? 8. How many times is 7 yd. 1 ft. contained in 1 mi.? 9. A meter is a French unit of length; it equals 39.37 inches. How many meters equal 1 mile? 10. The planet Mercury revolves around the sun in 88 days. Find in degrees, minutes, and seconds its daily progress. 11. Civil engineers use a chain 100 feet long. How many of these chains in 5 miles? REDUCTIONS INVOLVING FRACTIONS The method is the same as for integers. Example 1. Reduce .875 yd. to feet and inches. .875 yd. = .875 x 3 ft. = 2.625 ft. = 2 ft. plus .625 ft. .625 ft. .625 x 12 in. = 7.5 in. = Example 3. Express A. in square yards. of 1 A. of 4840 sq. yd. = = 7 × 4840 sq. yd. sq. yd. = 28231 sq. yd. 5. .95 da. to hours and minutes. 10. 15° to minutes. 11. of a common year to days and hours. 12. .3125 common years to days, hours, and minutes. 13. .45 bu. to a compound quantity. 14. gal. to a compound quantity. To express one quantity as a fraction of another quantity, reduce the quantities to the same denomination, and divide the first by the second. |