Answer: The trip takes [tex]\frac{m}{t}hours[/tex]
Explanation:
Velocity [tex]V[/tex] is the variation of the position of a body (distance traveled [tex]d[/tex]) with time [tex]T[/tex]:
[tex]V=\frac{d}{T}[/tex]
In this case, the car travels a distance [tex]d=m miles[/tex] at a velocity [tex]V=t \frac{miles}{hour}[/tex] and we need to find the time it takes the trip.
Isolating [tex]T[/tex]:
[tex]T=\frac{d}{V}=\frac{m miles}{t \frac{miles}{hour}}[/tex]
Finally:
[tex]T=\frac{m}{t}hours[/tex]
