Respuesta :
Answer:
7 h
Step-by-step explanation:
To determine the time it would take to travel a distance of 315 miles at a constant speed (rate) of 45 miles per hour, we can use the formula for calculating time in terms of distance and speed:
[tex]\large\boxed{\sf Time= \dfrac{Distance}{Speed}}[/tex]
Substitute the given values into the formula:
[tex]\sf Time = \dfrac{315\;mi}{45\;mi/h}[/tex]
Solve the equation for time:
[tex]\begin{aligned}\sf Time &=\sf \dfrac{315\;mi}{45\;mi/h}\\\\&=\sf \dfrac{315\;mi}{\frac{45\;mi}{h}}\\\\&=\sf 315\;mi \times \dfrac{h}{45\;mi}\\\\&=\sf \dfrac{315\;\diagup\!\!\!\!\!mi \times h}{45\;\diagup\!\!\!\!\!mi}\\\\&=\sf \dfrac{315\;h}{45}\\\\&=\sf 7\;h\end{aligned}[/tex]
Therefore, it would take 7 hours to travel 315 miles at a rate of 45 miles per hour.
Answer:
7 hours
Step-by-step explanation:
To find the time required to travel a certain distance at a given speed, we can use the formula:
[tex] \textsf{Time} = \dfrac{\textsf{Distance}}{\textsf{Speed}} [/tex]
Given:
- Distance = 315 miles
- Speed = 45 miles per hour
Substitute the value and simplify:
[tex] \textsf{Time} = \dfrac{315}{45} [/tex]
Now, calculate the time:
[tex] \textsf{Time} = 7 \, \textsf{hours} [/tex]
So, it would take 7 hours to travel 315 miles at a speed of 45 miles per hour.