Mr. Nelson is contemplating which chauffeured car service to take to the airport. The first costs $30 up front and $1 per kilometer. The second costs $2 plus $3 per kilometer. For a certain driving distance, the two companies charge the same total fare. What is the distance? What is the total fare?

Question

Mathematics

Guest

24 June, 10:08

Mr. Nelson is contemplating which chauffeured car service to take to the airport. The first costs $30 up front and $1 per kilometer. The second costs $2 plus $3 per kilometer. For a certain driving distance, the two companies charge the same total fare. What is the distance? What is the total fare?

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Answers (1)

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Beatrice Haas · Answer 1

If you pay the first chauffeur $30, and take a 2 kilometer trip, the total is $32.

If you pay the second chauffeur $3, and take a 10 kilometer trip, the total is $32.

The total fare is $32

And the distances are 2 kilometers for the first, and 10 kilometers for the second.