Patricia traveled an average speed of 65 miles per hour for 4.5 hours and then traveled at an average speed of 60 miles per hour for 1.5 hours. What was the total distance in miles that Patricia traveled during this time?
Responses
A 415415
B 380380
C 382.5382.5
D 412.5
To find the total distance traveled, we can first find the distance traveled during each segment of the trip and then add them together.
For the first segment, traveling at an average speed of 65 miles per hour for 4.5 hours, the distance traveled is 65 miles per hour multiplied by 4.5 hours, which equals 292.5 miles.
For the second segment, traveling at an average speed of 60 miles per hour for 1.5 hours, the distance traveled is 60 miles per hour multiplied by 1.5 hours, which equals 90 miles.
Adding the distances from both segments, 292.5 miles + 90 miles equals 382.5 miles.
Therefore, the total distance that Patricia traveled during this time is 382.5 miles.
The correct answer is (C) 382.5 miles.
To find the total distance Patricia traveled, we need to calculate the distance she traveled at each speed and then add them together.
First, let's calculate the distance traveled at 65 miles per hour. We can use the formula distance = speed × time.
Distance at 65 mph = 65 mph × 4.5 hours = 292.5 miles.
Next, let's calculate the distance traveled at 60 miles per hour.
Distance at 60 mph = 60 mph × 1.5 hours = 90 miles.
Now, let's add the distances together to find the total distance traveled.
Total distance = 292.5 miles + 90 miles = 382.5 miles.
Therefore, the total distance in miles that Patricia traveled during this time is 382.5 miles. So the answer is C.
To find the total distance that Patricia traveled, we need to calculate the distance traveled for each leg of the trip and then add them together.
To calculate the distance traveled at 65 miles per hour for 4.5 hours, we can use the formula: distance = speed × time. So, the distance for this leg of the trip is: distance = 65 miles/hour × 4.5 hours = 292.5 miles.
To calculate the distance traveled at 60 miles per hour for 1.5 hours, we use the same formula: distance = speed × time. So, the distance for this leg of the trip is: distance = 60 miles/hour × 1.5 hours = 90 miles.
Finally, to find the total distance traveled, we add the two distances together: total distance = 292.5 miles + 90 miles = 382.5 miles.
Therefore, the correct answer is C) 382.5.