Imagine that you take a road trip from A to D, but you have to do it in segments. Let’s say the distance from A to B is 145 miles; from B to C is 160 miles, and C to D is 115 miles. It takes you 6 hours to drive from A to D. What was your average speed (in miles per hour) during your trip from A to D? (Hint: How many miles did you drive from A to D? Then divide the total miles by the number of hours).
Choose the best answer from the options below:
A 50
B 60
C 70
D 80
E 90
To determine the average speed, we need to divide the total distance traveled by the total time taken. The total distance traveled is the sum of the distances from A to B, B to C, and C to D, which is 145 + 160 + 115 = 420 miles. The total time taken is given as 6 hours. Thus, the average speed is 420 miles divided by 6 hours, which is 70 miles per hour. Therefore, the answer is C) 70 miles per hour.
To find the average speed of the entire trip, we need to divide the total distance traveled by the total time taken.
The distance traveled from A to D is the sum of the distances from A to B, B to C, and C to D:
145 miles + 160 miles + 115 miles = 420 miles
The total time taken for the trip is given as 6 hours.
To calculate the average speed, we divide the total distance by the total time:
Average speed = Total distance / Total time
Average speed = 420 miles / 6 hours
Average speed = 70 miles per hour
Therefore, the correct answer is C) 70.