Question

Mr. Clark is contemplating which chauffeured car service to take to the airport. The first costs $28 up front and $1 per kilometer. The second costs $3 plus $2 per kilometer. For a certain driving distance, the two companies charge the same total fare. What is the total fare? What is the distance?

Answer 1

The total fare is $53, and the distance is 25

Explanation:

The equation we can use for the first car would be:

28 + (1×k) = fare (f)

The equation we can use for the second car would be:

3 + (2×k) = f

If we were to plug in 20 into the equations, it would look like this:

28 + (1×20) = 48 (first car)

3 + (2×20) = 43 (second car)

As you can tell, the prices aren't matched up just yet.

Let's plug 25 into the equations.

28 + (1×25) = 53

3 + (2×25) = 53

The number of kilometers traveled is 25, and the price is $53