Question

A car traveled a certain number of hours at 110 kilometers per hour and then five less than twice that many hours at 120 kilometers per hour for a total of 1850 kilometers. Determine the total amount of time that the car traveled.

a) 10 hours
b) 15 hours
c) 20 hours
d) 25 hours

Answer 1

The car traveled for a total of 25 hours. Hence, d) is correct.

Step-by-step explanation:

To determine the total amount of time that the car traveled, let's start by assigning variables to the unknown quantities. Let 'x' be the number of hours the car traveled at 110 km/h, and 'y' be the number of hours the car traveled at 120 km/h.

According to the problem, the car traveled at 110 km/h for 'x' hours and at 120 km/h for (2x - 5) hours. The total distance traveled is given as 1850 km. We can now set up an equation:

110x + 120(2x - 5) = 1850

Solving this equation gives us x = 10. Substituting this value back into the equation, we can find y = 2(10) - 5 = 15. Thus, the total amount of time that the car traveled is 10 + 15 = 25 hours.