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Warm up # 28. 1. How many more days until winter break?. 1.). Page 383, 1 - 6. +3. Page 383, 1 - 6. Let t = hours after fast train leaves. Correct Homework. Page 384 (4,5,6,9,10,13,14). Page 383, #4. 3 hours. 69 miles. Page 383, #5. + 2. Page 383, #6.
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Warm up # 28 1. How many more days until winter break? 1.)
+3 Page 383, 1 - 6 Let t = hours after fast train leaves
Correct Homework • Page 384 (4,5,6,9,10,13,14)
Page 383, #4 3 hours
69 miles Page 383, #5
+ 2 Page 383, #6 Let t = hours after the JET leaves
P.383, #9 +2
1. Betty leaves her purse in a store at the mall and averages 36 mi/h on her way home to Glenville, 140 miles away. Honest Harry discovers her purse and starts after her one hour later. If he averages 48 mi/h, how long will it take him to catch Betty? Will he catch her before she reaches Glenville? • 2. Fred leaves the corner of Maple Avenue and Front Street on his bicycle, and travels west at 14 km/h. Two hours later Celia leaves the same corner and walks east at 5 km/h. How many hours does it take for Fred and Celia to be 104 km apart? Page 385 #10 It takes a small jet plane 4 hours less time than it takes a propeller-driven plane to travel from Glen Rock to Oakville. The jet plane averages 637 km/h while the propeller plane averages 273 km/h. How far is it from Glen Rock to Oakville? Let t = time it takes the prop plane to make the trip 637 - 4 273 d = 1911 km t = 7
1. Betty leaves her purse in a store at the mall and averages 36 mi/h on her way home to Glenville, 140 miles away. Honest Harry discovers her purse and starts after her one hour later. If he averages 48 mi/h, how long will it take him to catch Betty? Will he catch her before she reaches Glenville? • 2. Fred leaves the corner of Maple Avenue and Front Street on his bicycle, and travels west at 14 km/h. Two hours later Celia leaves the same corner and walks east at 5 km/h. How many hours does it take for Fred and Celia to be 104 km apart? Page 385 #13 25 miles Let d = distance on motorcycle Let t = hours on motorcycle A motorcycle breaks down and the rider has to walk the rest of the way to work. Motorcycle was traveling at 45 mi/h, and he walks at 6 mi/h. The distance from home to work is 25 miles, and the total trip took 2 hours. d t 25-d 2-t 45 6
1. Betty leaves her purse in a store at the mall and averages 36 mi/h on her way home to Glenville, 140 miles away. Honest Harry discovers her purse and starts after her one hour later. If he averages 48 mi/h, how long will it take him to catch Betty? Will he catch her before she reaches Glenville? • 2. Fred leaves the corner of Maple Avenue and Front Street on his bicycle, and travels west at 14 km/h. Two hours later Celia leaves the same corner and walks east at 5 km/h. How many hours does it take for Fred and Celia to be 104 km apart? Page 385 #14 Let x = distance jog walk jog A student walks and jogs to college each day. The student averages 5 km/h walking and 9 km/h jogging. The distance from home to college is 8 km and the trip takes one hour. How far does he jog? Let y = hours jog 8-x 5 x 9 1-y y x = 6.75 km
1. Betty leaves her purse in a store at the mall and averages 36 mi/h on her way home to Glenville, 140 miles away. Honest Harry discovers her purse and starts after her one hour later. If he averages 48 mi/h, how long will it take him to catch Betty? Will he catch her before she reaches Glenville? • 2. Fred leaves the corner of Maple Avenue and Front Street on his bicycle, and travels west at 14 km/h. Two hours later Celia leaves the same corner and walks east at 5 km/h. How many hours does it take for Fred and Celia to be 104 km apart? Page 385 #14 A student walks and jogs to college each day. The student averages 5 km/h walking and 9 km/h jogging. The distance from home to college is 8 km and the trip takes one hour. How far does he jog? 8 – x = 5(1 – y) x = 9y Let x = distance jog x = 6.75 km Let y = hours walk 8 - x 1 - y y
Tailwind & Up Stream Problems in 8.5 The tailwind and current problems affect the rate.
How fast is the canoe going? Distance to tree = 12 Km 3 hours
Pattern • Tailwind and current problems talk about going to a location and coming home. The distance will be the same and we will set the distances equal to each other
A motorboat took 3 hours to make a downstream trip with a current of 6km/h. The return trip against the same current took 5 hours. Find the speed of the boat in still water. r = 3 +6 - 6 5
An airplane flew for 5 hours with a tailwind of 25 km/h. The return trip against the same wind took 6 hours. Find the speed of the airplane in still air. r = +25 5 6 -25
= r - +
= r 6 km