164 Chapter 2 Linear Equations and Inequalities 33. Bryan hiked up to the top of City Creek in 3 hr and then returned down the canyon to the trailhead in another 2 hr. His speed downhill was 1 mph faster than his speed uphill. How far up the canyon did he hike? 34. Laura hiked up Lamb’s Canyon in 2 hr and then ran back down in 1 hr. Her speed running downhill was 2.5 mph greater than her speed hiking uphill. How far up the canyon did she hike? 35. Hazel and Emilie fly from Atlanta to San Diego. The flight from Atlanta to San Diego is against the wind and takes 4 hr.The return flight with the wind takes 3.5 hr. If the wind speed is 40 mph, find the speed of the plane in still air. 36. A boat on the Potomac River travels the same 23 distance downstream in hr as it does going upstream in 1 hr. If the speed of the current is 3 mph, find the speed of the boat in still water. 37. Two cars are 200 mi apart and traveling toward each other on the same road.They meet in 2 hr. One car is traveling 4 mph faster than the other. What is the speed of each car? (See Example 4.) 38. Two cars are 238 mi apart and traveling toward each other along the same road.They meet in 2 hr. One car is traveling 5 mph slower than the other.What is the speed of each car? 39. After Hurricane Katrina, a rescue vehicle leaves a station at noon and heads for New Orleans. An hour later a second vehicle traveling 10 mph faster leaves the same station. By 4:00 P.M., the first vehicle reaches its destination, and the second is still 10 mi away. How fast is each vehicle? 40. A truck leaves a truck stop at 9:00 A.M. and travels toward Sturgis,Wyoming. At 10:00 A.M., a motorcycle leaves the same truck stop and travels the same route.The motorcycle travels 15 mph faster than the truck. By noon, the truck has traveled 20 mi further than the motorcycle. How fast is each vehicle? 41. In the Disney Marathon, Jeanette’s speed running was twice Sarah’s speed walking. After 2 hr, Jeanette was 7 mi ahead of Sarah. Find Jeanette’s speed and Sarah’s speed. 42. Two canoes travel down a river, starting at 9:00 A.M. One canoe travels twice as fast as the other. After 3.5 hr, the canoes are 5.25 mi apart. Find the speed of each canoe. 43. A certain granola mixture is 10% peanuts. a. If a container has 20 lb of granola, how many pounds of peanuts are there? b. If a container has x pounds of granola, write an expression that represents the number of pounds of peanuts in the granola. c. If a container has x 3 lb of granola, write an expression that represents the number of pounds of peanuts. 44. A certain blend of coffee sells for $9.00 per pound. a. If a container has 20 lb of coffee, how much will it cost? b. If a container has x pounds of coffee, write an expression that represents the cost. c. If a container has 40 x pounds of this coffee, write an expression that represents the cost. 45. The Coffee Company mixes coffee worth $12 per pound with coffee worth $8 per pound to produce 50 lb of coffee worth $8.80 per pound. How many pounds of the $12 coffee and how many pounds of the $8 coffee must be used? $12 Coffee $8 Coffee Total Number of pounds Value of coffee 46. The Nut House sells pecans worth $4 per pound and cashews worth $6 per pound. How many pounds of pecans and how many pounds of cashews must be mixed to form 16 lb of a nut mixture worth $4.50 per pound? $4 Pecans $6 Cashews Total Number of pounds Value of nuts Mixed Exercises
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