The equation d = rt, solved for t, is t = d/r.
Explanation
The equation d = rt represents the relationship between distance (d), rate (r), and time (t), where:
- d = distance
- r = rate (or speed)
- t = time
To solve for 't', we need to isolate 't' on one side of the equation. We can do this by dividing both sides of the equation by 'r':
d / r = (rt) / r
Since r/r = 1, the equation simplifies to:
d / r = t
Therefore:
t = d / r
Example
Let's say a car travels a distance of 200 miles at a rate of 50 miles per hour. To find the time it took, we can use the formula t = d/r:
t = 200 miles / 50 miles per hour
t = 4 hours
Summary
By dividing both sides of the equation d = rt by 'r', we isolate 't' and find that time (t) is equal to distance (d) divided by rate (r), expressed as t = d/r.
