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Math Driving Map - Essay Example

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The paper "Math Driving Map" is purposed to give an algorithm for assignments on Math problems concerning calculating of speed, time and distance. Different types of Math problems are overviewed and each of them has its own algorithm, that is aimed to help students in studying…
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Math Driving Map
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Rajesh Nambisan 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 hour
2. 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
II) Solution of the problem:
a. Interstate 25 to Cheyenne, WY
Road distance in miles (from the map) = 549
Driving time = = = 9.98 hours
b. Interstate 80 to Rock Springs
Road distance in miles (from the map) = 158
Driving 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 groundspeeds for the two stages of travel are provided with the help of 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 groundspeed 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:
1. 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 with the scale of the map.
2. To get the Travel Time, divide the distance by the aircraft groundspeed.
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 km
Air travel distance from Oklahoma City to El Paso = 1112.06 km
Air travel distance from to El Paso to Las Vegas = 1168.38 km
Therefore, air travel distance from to 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 - 1
Finding the air travel distances in two stages of travel from atlas - 2 X 1.5 = 3
Getting the correct equation to be used - 2
Correct travel time in two stages of travel - 2 X 1 = 2
Finding the total travel time by adding the travel times in two stages of travel - 1
Rounding the sum to the nearest half hour - 1
Total score - 10 Read More
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