Solve the formula $d=rt$ for $t$.
A. $t=\frac{r}{d}$
B. $t=\frac{d}{r}$
C. $t=rd$
D. $t=d-r
Answer (1)
Start with the formula d = r t .
Divide both sides by r to isolate t : r d = r r t .
Simplify the equation: r d = t .
The solution is t = r d .
Explanation
Understanding the Problem We are given the formula d = r t , where d represents distance, r represents rate, and t represents time. Our goal is to solve for t , which means we want to isolate t on one side of the equation.
Dividing Both Sides by r To isolate t , we need to divide both sides of the equation by r . This gives us: r d = r r t
Simplifying the Equation Now, we simplify the right side of the equation. Since r r = 1 , we have: r d = t
Final Answer Therefore, we have solved for t : t = r d This matches option B.
Examples
Understanding the relationship between distance, rate, and time is crucial in everyday life. For example, if you are planning a road trip and know the distance you want to travel and the speed you'll be driving, you can use this formula to calculate how long the trip will take. Similarly, if you know how long you've been driving and your speed, you can calculate the distance you've covered. This simple formula is a powerful tool for planning and understanding travel.
