We know that Pedro travels 286 miles in 4 hours and 24 minutes. We have to calculate how far he will travel in 5 hours and 24 minutes.
We can calculate the average speed by dividing the distance travelled by the time.
To do that, we first convert the time into hours:
[tex]t_1=4h+24\min \cdot\frac{1h}{60\min}=4h+0.4h=4.4h[/tex]Now, we calculate the average speed as:
[tex]v=\frac{D}{t_1}=\frac{286mi}{4.4h}=65\frac{mi}{h}[/tex]Now that we know the average speed, we can calculate the distance as the speed times the time.
We convert the time, 5 hours and 24 minutes, to hours:
[tex]t_2=5h+24\min \cdot\frac{1h}{60\min}=5h+0.4h=5.4h[/tex]We now calculate the distance as:
[tex]D_2=v\cdot t_2=65\frac{mi}{h}\cdot5.4h=351mi[/tex]Answer: he will travel 351 miles.
