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Around the world in 80 days with Mathcad

    80 days around the world

    Travelling around the world in 80 days is an exciting and adventurous journey many people dream of taking. The idea of circumnavigating the globe in such a short amount of time was popularised by Jules Verne’s classic novel, “Around the World in 80 Days.” Today, it is still possible to make this journey, but it requires careful planning and a bit of mathematics.

    One of the first things to consider when planning a trip around the world in 80 days is the route. There are several possible routes to choose from, each with its own advantages and disadvantages. For example, a trip that starts and ends in London and takes a route through Asia, the Americas, and Europe will be shorter than a trip that takes a route through Africa and Australia.

    To calculate a trip around the world in 80 days, one would need to consider several factors such as distance, travel time, cost, and activities. It is impossible to give a single formula that would calculate all these factors for a trip around the world, as it would depend on the specific route and itinerary chosen. However, here are a few examples of formulas that could be used to calculate different aspects of the trip using Mathcad:

    Travel time

    To calculate the travel time between two points, one could use the distance formula mentioned above and combine it with the average travel speed (e.g., by plane, train, or car).

    Cost

    The cost of a trip around the world depends on many factors, such as the cost of transportation, lodging, food, and activities. To calculate the total cost of the trip, one would need to add up the cost of each of these individual expenses.

    Distance

    The distance between two points on a map can be calculated using the Haversine formula. This formula takes into account the latitude and longitude of the two points and calculates the distance between them in kilometres or miles. It is easy to use GPS coordinates from maps with Mathcad functions and transfer strings in calculations. Let’s start in London and go to Paris first:

    Calculating the distance

    Mathcad distance
    London
    3_LondonCoord
    4_Paris
    5_ParisCoord
    6_London-Paris

    Summary

    Travelling around the world in 80 days is a challenging and exciting journey which requires careful planning and a bit of maths. Mathcad can be a useful tool for calculating the distance, time, and cost of different routes, as well as for planning the logistics and activities of the trip. With the right planning and a bit of maths, it is possible to make this journey a reality. Here’s a suggestion for the route.