Answer:
[tex]\Delta t=9\: hours[/tex]
Step-by-step explanation:
1) If Tameron is driving 540 miles at a rate of 45 mph, then he may take 12 hours to make that trip. We'll use the formula below, that relates the rate for average speed is equal to the variation of space over the variation of time.
[tex]V_{m}=\frac{\Delta s}{\Delta t}\Rightarrow 45=\frac{540}{\Delta t}\Rightarrow \Delta t=\frac{540}{45}\Rightarrow 45\Delta t=540\:\Rightarrow \Delta t=\frac{540}{45}\Rightarrow \Delta t=12[/tex]
2) Although if he's already done 1/4 of the way , i.e. 135 miles then he's left with [tex]\frac{3}{4}[/tex]of the track to go.
Assuming He'll keep the speed rate,
[tex]\Delta t=\frac{540*\frac{3}{4}}{45}\Rightarrow \Delta t=9\: hours[/tex]
