How to set up the equation for this problem?
a car traveled at constant speed after 3 hours the car has traveled 80 miles. if the car continues to travel at the same speed, how many hours will it take to travel 270 miles?
80=3x x=speed so 80/3 is your speed.
270=(80/3)x where x is equal to time (270)/(80/3) = time
To set up the equation for this problem, we can use the formula:
Distance = Speed x Time
First, let's define the variables:
Let "x" represent the time it will take to travel 270 miles.
Let "d" represent the distance traveled in each scenario.
Now, let's set up the equation:
For the given information:
80 miles = Speed x (3 hours)
To find the speed, we can rearrange the equation as follows:
Speed = 80 miles / 3 hours
Now, we can substitute this value into the general equation to solve for the time required to travel 270 miles:
270 miles = (80 miles / 3 hours) x x hours
Simplifying further:
270 miles = (80/3) x hours
To solve for "x", we can multiply both sides of the equation by 3 and then divide by 80:
(x hours) = (270 miles) x (3/80)
Calculating this:
x = (3 x 270) / 80
x = 10.125
Therefore, it will take approximately 10.125 hours to travel 270 miles if the car continues to travel at the same speed.