Using the relationship that speed=distance/time, and the information on the return trip, a rational equation that can be used to solve for speed is
. The least common denominator is
, and multiplying both sides by the least common denominator gives an equivalent equation of
. Write the solution to this equation as a decimal:
miles per minute.
The rational equation that can be used to solve for speed is "speed = distance / time".
The least common denominator is "1".
Multiplying both sides of the equation by the least common denominator gives an equivalent equation: "speed = (distance / time) * 1".
The solution to this equation, written as a decimal, is "miles per minute".
To solve the equation, we first need to find the least common denominator (LCD) for the rational equation. Since the denominators are "time" and "t + 5," the LCD is the product of these two terms, which is "time(t + 5)."
Next, we multiply both sides of the equation by the LCD to eliminate the fractions. Multiplying the numerator of the first fraction by (t + 5) and the numerator of the second fraction by "time," we get:
distance = (t + 5)(time)
Now, we can expand the equation:
distance = time(t + 5)
To express the solution as a decimal, we need to determine the value of "distance" and divide it by the value of "time." However, without specific values for distance and time, we cannot find a direct decimal answer.
To solve the rational equation
, where speed is expressed in miles per minute, we can use the provided information. First, let's write the equation properly:
To find the speed, we can set up the following equation using the relationship speed = distance / time:
speed = distance (return trip) / time (return trip)
Since the speed on the return trip is unknown, let's represent it as x. The distance on the return trip is the same as the distance traveled on the forward trip, so we'll use d to represent that distance. The time it took for the return trip is given as 3 minutes.
Therefore, our equation becomes:
x = d / 3
Now, let's multiply both sides of the equation by the least common denominator (LCD), which is 3. This will eliminate the denominator on the right side and give us an equivalent equation:
3x = d
To solve for x (the speed in miles per minute), we need more information about the distance traveled. Without this information, we cannot provide a specific numeric solution in decimal form.