Problem 33 - Introductory Algebra for College Students

Question

What is the relationship among time traveled, distance traveled, and rate of travel?

Step-by-Step Solution

Answer

The relationship between time, distance, and speed or rate of travel is given by the formula Distance = Rate x Time (D = R x T). This means the distance traveled is equal to the speed at which you're traveling multiplied by the time you've been traveling.

Step 1: Understand Time

Time is often represented as 'T' and it denotes the duration or period spent traveling.

Step 2: Understand Speed/Rate

Speed or Rate is often represented as 'R' and it means the rate at which something or someone is able to move or operate. It's basically how fast something is moving.

Step 3: Understand Distance

Distance is often represented as 'D'. Distance signifies the space between two points, which in this context means the space traveled during the journey.

Step 4: Understand the relationship

The relation between the three variables is given as the formula, Distance = Rate x Time (D = R x T). This formula demonstrates that distance is equal to the rate of speed at which an object is traveling multiplied by the time it has been traveling.