Water Utility Science Water Math and Hydraulics 050. Name: Date:

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1 Water Utility Science Water Math and Hydraulics 050 Name: Date: Note: Please show all of your calculations for each problem no matter how simple the problem may seem. Please use the accompanying pieces of paper for each problem. Failure to show how you arrive at an answer will result in a maximum point deduction. All fractions shall be reduced to their lowest form. You may use your calculator and the attached equivalence sheets. No other materials are allowed during this exam. (3-points each) 1. Add 14 ½ to 7 7/10 a. 22 1/5 b /10 c. 21 1/5 d. 22 3/5 e. 22 1/10 2. Subtract 53 ½ from 156 1/6 a /3 b /3 c /9 d /9 e /3 3. Multiply 1 ½ by 6 7/8 a. 24/110 b. 10 5/16 c. 11 3/8 d. 10 9/16 e. 11 1/8 4. Multiply 1 7/10 by 2 5/7 a. 5 21/70 b. 4 40/70 c. 5 2/3 d. 4 ½ e. 4 43/70

2 5. Divide 8 1/3 by 1 ¼ a. 6 2/3 b. 5 5/6 c. 6 5/12 d. 5 7/8 e. 6 1/3 6. Divide 8 by 1 ½ a. 6 ½ b. 6 2/3 c. 5 1/3 d. 5 5/8 e. 5 2/3 7. Select the proper decimal point answer times 5 ¼ =? a b c d e is what percent of 29? a b c d e % of 0.25 is a. 2.6 b. 260 c or 0.16 d or 0.20 e or Which of the following is 20% of 20? a. 4 b. 5 c. 5.5 d. 6 e. 4.5

3 11. A 3-pound jar of mixed nuts is labeled 60% peanuts. What is the weight of the other nuts excluding peanuts? a. 5 pounds b. 1.8 pounds c. 1.2 pounds d. 0.8 pound e. 1.5 pounds is to 30 as 9 is to? a. 51 b. 54 c. 45 d. 59 e % of is 18. (Fill-in the blank and remember to show your calculations) a. 27 b. 4.5 c. 40 d. 62 e Solve for y y + 5 = 1 a. 6 b. 4 c d. -4 e Solve for y 9y = y a. 3 b. -3 c. 7 d. 21 e. -7 (5-points each) 16. Convert 2.0 cubic feet per second to gallons per minute. Show each step in the calculation or no points! a gpm b gpm c. 1,346.4 gpm d. 1,000.8 gpm e. 1,918.3 gpm

4 17. The maximum capacity of a 24-inch I.D pipeline is how many times different than a 12-inch I.D. pipeline? a. two times more than the 12-inch b. three times more than the 12-inch c. four times more than the 12-inch d. two times less than the 12-inch e. about the same 18. How many pounds does 3-gallons of freshwater weigh? a lbs b lbs c lbs d lbs e lbs 19. What is the weight of 4.5 cubic feet of water? a lbs b lbs c lbs d lbs e lbs 20. Convert square inches into square feet. Convert 1,770 In 2 = Ft 2 a. 414,720 b. 28 c d. 5,640 e Convert inches per second into mph. (Show your calculations) 30.0 inches per second equals how many miles per hour? a. 1.7 mph b mph c mph d mph e. 17 mph 22. Convert 8.0 cubic feet per second to million gallons per day a c e b d. 2.91

5 23. How many pounds (Lbs) per day of chlorine gas (100% available) will be needed when the flow rate is held steady at 5.5 mgd and the feed rate remains at 2.4 ppm for 24-hrs? a lbs/day b. 328 lbs/day c. 241 lbs/day d lbs/day 24. Chlorine gas (100% available) was fed into a flow of 21.5 mgd for 24-hours. The gas feed rate remained at 2.4 ppm during the 24-hr period, however it was noted that the water had a chlorine demand of 1.25 mg/l. Determine the amount of pounds of chlorine needed to be fed during the 24-hour period. a b c d. 587 e Determine the quantity of flow (Q), in cfs, when the area of a box conduit is 9.7 square feet and the speed of the water traveling through the box is 5.0 feet per second. a b c d e. not enough information to solve 26. The pressure on the bottom of an open to the atmosphere tank is 19 psi. Determine the height of the water in the tank. (round to closest given number) a. 8.2-ft. b ft. c ft. d. 44-ft. e ft. 27. How many cubic feet of water can 2.5 acres of land contain when it has a one-foot high barrier built around it? a. 109,800 cf b. 108,900 cf c. 1,133,900 cf d. 977,486 cf e. 180,009 cf

6 28. How many minutes will it take before a water droplet, flowing at 1750 gpm, could exit a 102,700 gallon container? (show your calculations, or NO credit) a minutes b minutes c minutes d. 1.7 minutes e. 5.9 minutes 29. Convert 1800 gpm into cfs. (show your calculations, or NO credit) a. 2.0 cfs b. 4.0 cfs c. 4.6 cfs d. 6.4 cfs e. 2.5 cfs 30. How many cubic feet of dirt will be displaced when a 29-inch O.D. pipe that is 325-feet long is placed inside a trench and recovered? a. 1,407 cf b. 1,940 cf c. 1,090.8 cf d cf e. 1,490 cf 31. If a chemical were 19% in strength and needed to be diluted to a 2% strength into a 300-gallon day tank, how many gallons of the 19% would be needed? a b c d e Convert 28 C into F. Show your calc s. a b c d e. 87.1

7 33. A total hardness of 275 mg/l equals how many grains per gallon (gpg)? a. 22 b. 15 c. 14 d. 18 e Using the Quantity formula (Q = AV), determine the V, when A = 16.5 sq. ft. and Q equals 83 cfs. a fps b. 5 fps c fps d fps e. 6.1 fps 35. The bottom of a 20-foot high tank is 155-feet above the water transmission line. The pressure in the transmission line is 74-psi. Determine the water level in the tank. a ft. b ft. c ft. d ft. e ft. 36. A pump delivers 5.6 cfs into a 48-ft diameter tank. Determine the water level in the tank after 3-hours of pumping at the same rate? a ft. b ft. c ft. d ft. e ft. 37. A 20-ft. diameter tank has a pressure of 10.8 psi when full of water. Determine the amount of gallons of paint needed to cover the outside and top when each gallon spreads 200 square feet with one coat. a. 10 gallons b. 1,878.5 gallons c. 9 gallons d gallons e. 120 gallons 38. What is the required pipe diameter, in inches, when the velocity is 5 fps and the maximum flow is 15 cfs? a. 28-inches b inches c. 3.0 inches d inches e inches