248 CHAPTER 5 Number Theory and the Real Number System 100. Width of a Picture The width of a picture is 24 in., 7 8 as shown in the diagram. Determine x, the distance from the edge of the frame to the center. a) ÷ 24 7 8 2 b) 12 7 16 in. 24 " 7 8 x x 101. Traveling Interstate 5 While on vacation, Janet traveled the full length of Interstate Highway 5 from the U.S.-Canada border to the U.S.-Mexico border (see the following map). She recorded the following travel times between cities: Blaine, Washington, to Seattle: 1 hour 49 minutes; Seattle to Portland: 2 hours 48 minutes; Portland to Sacramento: 9 hours 6 minutes; Sacramento to Los Angeles: 6 hours 3 minutes; Los Angeles to San Diego: 2 hours 9 minutes; San Diego to San Ysidro, California: 22 minutes. a) Write each of these times as a fraction or as a mixed number with minutes represented as a fraction with a denominator of 60. Do not reduce the fractional part of the mixed number. 1 49 60 , 2 48 60 , 9 6 60 , 6 3 60 , 2 9 60 , 22 60 b) What is Janet’s total driving time from Blaine, Washington, to San Ysidro, California? Give your answer as a mixed number and in terms of hours and minutes. 22 17 60 hours; 22 hours 17 minutes California Oregon Washington Blaine Seattle Portland Sacramento Los Angeles San Diego San Ysidro m Interstate Highway 5 102. Traveling Across Texas While on vacation, Omar traveled the entire length of Interstate Highway 10 in Texas (see the following map). Omar recorded the following travel times between cities on his trip. Anthony to El Paso: 25 minutes; El Paso to San Antonio: 7 hours 54 minutes; San Antonio to Houston: 3 hours 1 minute; Houston to Beaumont: 1 hour 23 minutes; Beaumont to Orange: 28 minutes. a) Write each of these times as a fraction or as a mixed number with minutes represented as a fraction with a denominator of 60. Do not reduce the fractional part of the mixed number. 25 60 , 7 54 60 , 3 1 60 , 1 23 60 , 28 60 b) What is Omar’s total driving time from Anthony to Orange? Give your answer as a mixed number and in terms of hours and minutes. 13 11 60 hours; 13 hours 11 minutes Anthony El Paso San Antonio Texas Houston Beaumont Orange m Interstate Highway 10 Challenge Problems/Group Activities 103. Cutting Lumber If a piece of wood 8 ft 3 4 long was cut into four equal pieces, determine the length of each piece. (Allow in. 1 8 for each saw cut.) 26 5 32 in. 104. Dimensions of a Room A rectangular room measures 8 ft 3 in. wide by 10 ft 8 in. long by 9 ft 2 in. high. a) Determine the perimeter of the room in feet. Write your answer as a mixed number. 37 5 6 ft b) Calculate the area of the floor of the room in square feet. 88 ft2 c) Calculate the volume of the room in cubic feet. Use = × × volume length width height. Write your answer as a mixed number. 806 2 3 ft3 105. Hanging a Picture The back of a framed picture that is to be hung is shown in the following figure. A nail is to be hammered into the wall, and the picture will be hung by the wire on the nail. a) If the center of the wire is to rest on the nail and a side of the picture is to be 20 in. from the window, how far from the window should the nail be placed? 29 3 16 in.
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