To find out how long the motorist spent traveling on highways, we can use the average speed and total distance traveled.
Let's denote the time spent on highways as 'x' (in hours). Since the total journey took 6 hours, the time spent passing through towns can be calculated as (6 - x) hours.
On highways: Distance = Speed × Time 424 km = 80 km/h × x
In towns: Distance = Speed × Time Distance = 24 km/h × (6 - x)
Since the total distance traveled is the sum of the distances on highways and in towns, we can write the equation:
424 km = 80 km/h × x + 24 km/h × (6 - x)
Now, we can solve this equation to find the value of 'x':
424 km = 80x + 24(6 - x) 424 km = 80x + 144 - 24x 424 km = 56x + 144 280 km = 56x x = 280 km / 56 km/h x = 5 hours
Therefore, the motorist spent 5 hours traveling on highways.