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The most commonly used equations in algebra are those that include distance, speed, and time. The equation relates to various tasks in real life, such as when planning a trip. Speed is how fast something travels in a given amount of time. Time refers to how long it takes to travel a certain distance while moving at a certain speed. Distance is how far something travels at a certain speed and amount of time. A simple algebraic equation relates these three concepts.

## Section 1

Understand the basic equation: D = v * t, where D is distance, “v” is speed, and “t” is time. If you are given a speed at which someone is traveling and the time it takes them to travel, you can use the equation to calculate the total distance traveled.

Solve a problem using the following formula. For example, if a car travels at 60 miles (96 km / h) and the trip takes 2 hours, you can easily calculate the distance traveled: Distance = 60 mph x 2 hours (or 96 km / h x 2 hours) Distance = 120 miles (192 km)

Modify the formula to calculate the time. d = v * t, you can solve for “t” and divide both sides by “v”. So the new formula would look like t = d / v. Suppose you want to know how long it would take to travel 120 miles (192 km) at a speed of 60 mph (96 km / h): Time = 120 miles / 60 mph (or 192 km / 96 km / h) Time = 2 hours

Modify the equation again to calculate the velocity. d = v * t, you can solve for “v” and divide both sides of the equation by “t” to get the formula v = d / t. Now, suppose they tell you that a car traveled for 2 hours and traveled 120 miles (192 km). A problem can query how fast the car was traveling: Speed = 120 miles / 2 hours (or 192 km / 2 hours) Speed = 60 mph (96 km / h)

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