Problem
If you are traveling in your car at an average rate of $r$ miles per hour for $t$ hours, then the distance, $d$, in miles, that you travel is described by the formula $\mathrm{d}=\mathrm{rt}$, that is, distance equals rate times time. (a) Solve the formula for $\mathrm{t}$. (b) Use the formula in part (a) to find the time that you travel if you cover a distance of 175 miles at an average rate of 50 miles per hour. (a) $t=$
Solution
Step 1 ：To solve the formula for $t$, we need to isolate $t$ on one side of the equation. We can do this by dividing both sides of the equation by $r$. So, $t=\frac{d}{r}$
Step 2 ：Now that we have the formula for $t$, we can substitute $d=175$ miles and $r=50$ miles per hour into the formula to find the time. So, $t=\frac{175}{50}=3.5$ hours
Step 3 ：Final Answer: $t=\boxed{3.5}$ hours
