N automóvil corre a 120 kilómetros por hora y otro a 80 kilómUetros por hora; si deben recorrer 960 kilómetros, ¿con cuántas horas de diferencia llega el primero del segundo?

4 hours

Step-by-step explanation:

Both cars here travel with uniform motion (constant velocity), so the relationship between distance covered, time taken and speed is:

where

t is the time taken

d is the distance covered

v is the speed of the car

Here we have:

(speed of the 1st car)

(speed of the 2nd car)

d = 960 km is the total distance covered by each car

So for car 1, the time taken is:

While for car 2, the time taken is:

And so, the difference in arrival time between the two cars is:

so firstly, we need to isolate the y variables to be able to solve these inequalities. firstly, add 0.5x on both sides of the first inequality and subtract 1.5x on both sides of the second inequality:

now since the slope is positive for the first inequality, this means that the line going upwards belongs to the first inequality, and the line going downwards belongs to the second inequality.

next, since y ≥ in the first inequality, this means that the shaded region will be above the first inequality's line, thus shading regions a and b.

next, since y ≤ in the second inequality, this means that the shaded region is going to be below this line, thus shading regions a and c.

since both lines shade region a, this means that region a is the solution.

step-by-step explanation:

mark brainliest!