The distance traveled at a constant speed is directly proportional to the time of travel. If olivia traveled 306 miles in 8.5 hours how man miles will olivia travel in 9.1 hours at the same constant speed
To find the number of miles Olivia will travel in 9.1 hours at the same constant speed, we can set up a proportion:
306 miles / 8.5 hours = x miles / 9.1 hours
Cross multiplying, we get:
8.5 hours * x miles = 306 miles * 9.1 hours
Multiplying, we get:
8.5x = 2784.6
Dividing both sides by 8.5, we get:
x = 327
Therefore, Olivia will travel 327 miles in 9.1 hours at the same constant speed.
To find out how many miles Olivia will travel in 9.1 hours at the same constant speed, we can set up a proportion using the concept of direct variation.
Let "x" represent the unknown distance Olivia will travel in 9.1 hours.
The proportion can be set up as:
306 miles / 8.5 hours = x miles / 9.1 hours
To solve for x, we can cross multiply:
(306 miles) * (9.1 hours) = (8.5 hours) * x miles
2774.6 miles = 8.5x
Next, we can isolate x by dividing both sides of the equation by 8.5:
2774.6 miles / 8.5 = x
x ≈ 326.36 miles
Therefore, Olivia will travel approximately 326.36 miles in 9.1 hours at the same constant speed.
To determine how many miles Olivia will travel in 9.1 hours at the same constant speed, we can use the concept of direct proportionality between distance and time.
Let's set up a proportion to solve for the unknown distance traveled in 9.1 hours. We know that the distance traveled is directly proportional to the time traveled, so we can write the proportion as:
Distance 1 / Time 1 = Distance 2 / Time 2
Using the given information, we can plug in the known values:
306 miles / 8.5 hours = Distance 2 / 9.1 hours
Now, we can solve for Distance 2 by cross-multiplying:
(306 miles) * (9.1 hours) = (8.5 hours) * Distance 2
2779.6 miles = 8.5 hours * Distance 2
To isolate Distance 2, we divide both sides of the equation by 8.5 hours:
Distance 2 = 2779.6 miles / 8.5 hours
Simplifying the calculation:
Distance 2 ≈ 326.94 miles
Therefore, Olivia will travel approximately 326.94 miles in 9.1 hours at the same constant speed.