Question

You are driving home from school steadily at 93 km/h for 161 km. It then begins to rain and you slow to 54 km/h. You arrive home after 6 h. How far is your hometown from school?

Answer 1

The 6 hours consist of 161 km passed at 93 km/h and some distance passed at 54 km/h:

$$6=\frac{161}{93}+\frac{x}{54},\\\space\\ x=230.5\text{ km}.$$

The total distance is

$$D=161+230.5=391.5\text{ km}.$$