Question

A car travels across Texas m miles at the rate of t miles per hour. How many hours does the trip take??

Answer 1

Answer: The trip takes $\frac{m}{t}hours$

Explanation:

Velocity $V$ is the variation of the position of a body (distance traveled $d$) with time $T$:

$V=\frac{d}{T}$

In this case, the car travels a distance $d=m miles$ at a velocity $V=t \frac{miles}{hour}$ and we need to find the time it takes the trip.

Isolating  $T$:

$T=\frac{d}{V}=\frac{m miles}{t \frac{miles}{hour}}$

Finally:

$T=\frac{m}{t}hours$