Question

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?

Answer 1

Answer:

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:

$t=\frac{d}{v}$

where

t is the time taken

d is the distance covered

v is the speed of the car

Here we have:

$v_1 = 120 km/h$ (speed of the 1st car)

$v_2=80 km/h$ (speed of the 2nd car)

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

So for car 1, the time taken is:

$t_1=\frac{960}{120}=8 h$

While for car 2, the time taken is:

$t_2=\frac{960}{80}=12 h$

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

$\Delta t =t_2-t_1 =12 -8 = 4 h$