Solve The Formula $d = Rt$ For $t$.A. $t = \frac{d}{r}$ B. $t = \frac{r}{a}$ C. $t = Rd$ D. $t = D - R$

Feb 26, 2025 by ADMIN 107 views

**Solve the Formula $d = rt$ for $t$: A Step-by-Step Guide** ===========================================================

What is the Formula $d = rt$ ?

The formula $d = rt$ is a fundamental concept in mathematics, particularly in algebra and physics. It represents the relationship between distance, rate, and time. In this formula, $d$ represents the distance traveled, $r$ represents the rate or speed at which the distance is traveled, and $t$ represents the time taken to travel the distance.

Solving for $t$ : A Step-by-Step Guide

To solve for $t$ , we need to isolate the variable $t$ on one side of the equation. This can be done by dividing both sides of the equation by $r$ . Here's the step-by-step guide:

Step 1: Divide Both Sides by $r$

To isolate $t$ , we need to get rid of the $r$ term that is multiplied by $t$ . We can do this by dividing both sides of the equation by $r$ . This gives us:

\frac{d}{r} = t

Step 2: Simplify the Equation

Now that we have isolated $t$ , we can simplify the equation by removing the fraction. This gives us:

t = \frac{d}{r}

Answer: A

Therefore, the correct answer is A. $t = \frac{d}{r}$ .

Why is this the Correct Answer?

This is the correct answer because when we divide both sides of the equation by $r$ , we are essentially isolating the variable $t$ . This is the only way to solve for $t$ in the equation $d = rt$ .

What are the Other Options?

Let's take a look at the other options:

B. $t = \frac{r}{a}$ : This is not the correct answer because the variable $a$ is not present in the original equation.
C. $t = rd$ : This is not the correct answer because we are trying to solve for $t$ , not $rd$ .
D. $t = d - r$ : This is not the correct answer because we are trying to solve for $t$ , not $d - r$ .

Conclusion

In conclusion, the correct answer is A. $t = \frac{d}{r}$ . This is because when we divide both sides of the equation by $r$ , we are essentially isolating the variable $t$ . This is the only way to solve for $t$ in the equation $d = rt$ .

Frequently Asked Questions

Q: What is the formula $d = rt$ ?

A: The formula $d = rt$ represents the relationship between distance, rate, and time.

Q: How do I solve for $t$ in the equation $d = rt$ ?

A: To solve for $t$ , you need to divide both sides of the equation by $r$ . This gives you $t = \frac{d}{r}$ .

Q: Why is option A the correct answer?

A: Option A is the correct answer because when we divide both sides of the equation by $r$ , we are essentially isolating the variable $t$ . This is the only way to solve for $t$ in the equation $d = rt$ .

Q: What are the other options?

A: The other options are B. $t = \frac{r}{a}$ , C. $t = rd$ , and D. $t = d - r$ . These options are not the correct answers because they do not isolate the variable $t$ .