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.

msm555

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.