Car Owner’s Puzzles

Can a specific subject provokes interest to Math?

For example, cars. How much does the gas cost in a month? What speed to choose? When do I need to change the tires? How to be on time? How much do I pay for a car during its life? . . .

 

What are other intersting subjects? Finance? Love? Sport?

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Does the car owner need math?

Black car

Many car owners make decisions without any calculation. They use gut feelings and don’t spend time on math. However, small calculative efforts of 2-3 minutes can help to inform wise decisions and give the owner the confidence that they are making the best choice.

Here are real-life examples:

We calculate how many miles we can drive with a half tank.

We calculate the value of a car after owning it for several years.

We compare cars when we want to choose one that is fuel-efficient.

We calculate the potential costs when we decide to rent or buy a car.

We calculate the profit and losses when buying or selling cars.

Estimate how many miles can you drive if you change the tires (front <-> back) at the best moment. Rear tires of your car wear out after 60,000 miles, while the front tires wear out twice faster.

We accept or refuse bids when selling cars.

In the last case, you don’t need to know the complex optimal choice theory and its formulae. It’s enough just to keep in mind several simple rules that help you to make wise decisions. People who spend a few minutes on simple calculations always enjoy their choice.