Solve the formula $d=rt$ for $t$.
A. $t=\frac{d}{r}$
B. $t=\frac{r}{d}$
C. $t=rd$
D. $t=d-r$
Answer (1)
Divide both sides of the equation d = r t by r .
Simplify the equation to isolate t .
The result is t = r d .
Therefore, 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 (or speed), and t represents time. Our goal is to solve this formula for t , which means we want to isolate t on one side of the equation.
Isolating t To isolate t , we need to undo the multiplication of r by t . We can do this by dividing both sides of the equation by r . So, we have: r d = r r t
Simplifying the Equation On the right side of the equation, the r in the numerator and the r in the denominator cancel each other out, leaving us with: r d = t
Final Answer Therefore, we have solved for t , and the formula is: t = r d This matches option A.
Examples
Imagine you are driving a car. If you know the distance you traveled and the speed you were going, you can use this formula to calculate how long it took you to travel that distance. For example, if you drove 120 miles at a speed of 60 miles per hour, the time it took you would be 60 120 = 2 hours. This formula is a fundamental concept in physics and everyday life for calculating travel times.
