Math Driving Map - Essay Example

Math driving map 25 January 2008 Answers Answer I) A brief of the problem-solving process: Steps: The travel can be split into two stages: 1. From Albuquerque, NM to Cheyenne, WY at an average speed of 55 miles per hour2. From Cheyenne, WY Rock Springs at an average speed of 55 miles per hour. For each stage:1. Find the road distance between the points from the road map. 2. To get the driving time, divide the distance by the average speed. Add the driving time obtained in two stages to get the total driving time.

Calculations: Driving time = Tools: Road map) Solution of the problem: a. Interstate 25 to Cheyenne, WY Road distance in miles (from the map) = 549Driving time = = = 9.98 hours b. Interstate 80 to Rock Springs Road distance in miles (from the map) = 158Driving time = = = 2.87 hours Total driving time from Albuquerque to Rock Springs = 9.98 + 2.87 =12.85 = 13 hours (to the nearest half hour).Answer 2.A brief description of the process used to construct the problem: The average aircraft ground speeds for the two stages of travel are provided with the help of an atlas and road maps.

Since the students are required to find the travel time, they have to use an atlas or road map, which can give the air travel distance as the straight line distance between the required points. Problem Statement : Given: You travel by air from Memphis, TN, to Las Vegas, NV, with stops in Oklahoma City, OK, and El Paso, TX, en route. Average aircraft ground speed is 380 km/hour from Memphis to Oklahoma City and 310 km/hour from Oklahoma City to Las Vegas. What would be your total travel time (to the nearest half-hour) Steps?

Find the air travel distance between the points from the map. This can be done by measuring the distance between the points in the map and multiplying this distance by the scale of the map.2. To get the Travel Time, divide the distance by the aircraft ground speed.Travel by air from Memphis, TN, to Las Vegas, NV, with stops in Oklahoma City, OK, and El Paso, TX, en route. Air travel distance from Memphis to Oklahoma City = 756.39 kmAir travel distance from Oklahoma City to El Paso = 1112.06 kmAir travel distance from El Paso to Las Vegas = 1168.

38 Therefore, air travel distance from Oklahoma City to Las Vegas = 1112.06 +1168.38 = 2280.44 km Travel Time from Memphis to Oklahoma City = = 1.99 hours Travel Time from Oklahoma City to Las Vegas = = 7.36 hours total Travel Time from Memphis to Las Vegas = 1.99 + 7.36 = 9.35 hours = 9.5 hours (to the nearest half hour).Scoring Key: Identifying the two stages of travel - 1Finding the air travel distances in two stages of travel from atlas - 2 X 1.5 = 3Getting the correct equation to be used - 2Correct travel time in two stages of travel - 2 X 1 = 2Finding the total travel time by adding the travel times in two stages of travel - 1Rounding the sum to the nearest half hour - 1Total score - 10