Answer:
The expected speed is 80 km / h
Step-by-step explanation:
To solve this problem we must propose two equations that relate the data provided in the statement.
Initially it was expected to travel for 2.5 hours.
If we call V the speed at which the car would travel during that time and we also call x the distance traveled then we propose the following equation:
[tex]2.5V = x[/tex] (i)
Then we know that if V increases 20 km/h then t decreases in 0.5 hours:
[tex]V + 20 = \frac{x}{(2.5-0.5)}[/tex] (ii) *We know that V = x/t
Then we substitute (i) in (ii)
[tex]V + 20 = \frac{2.5V}{2}\\\\\frac{5}{4}V - V = 20\\\\\frac{1}{4}V = 20\\\\V = 20(4)\\\\V = 80[/tex]
The expected speed is 80 km/h
and the distance to be covered is 200 km
