Truck 1
number of hours driven number of miles traveled
3 195
4 260
4.5 292.5
Truck 2
number of hours driven number of miles traveled
1.5 75
1.75 87.5
2.5 125
Truck 3
number of hours driven number of miles traveled
0.5 30
1.25 75
3.5 210
Three trucks travel the given distances in the specified amounts of time. Which statement is true?
A. All three trucks are traveling at the same rate of speed.
B. Trucks 1 and 3 are traveling at the same rate of speed, but Truck 2 is traveling more quickly.
C. Trucks 1 and 2 are traveling at the same rate of speed, but Truck 3 is traveling more slowly.
D. None of the three trucks are traveling at the same rate of speed.
To determine which statement is true, we need to compare the rate of speed of the trucks. We can do this by calculating the miles per hour for each truck.
For truck 1:
Rate of speed = Miles traveled / Hours driven
Rate of speed = 195 miles / 3 hours
Rate of speed = 65 miles per hour
For truck 2:
Rate of speed = 75 miles / 1.5 hours
Rate of speed = 50 miles per hour
For truck 3:
Rate of speed = 210 miles / 3.5 hours
Rate of speed = 60 miles per hour
Comparing the rates of speed, we can see that none of the trucks are traveling at the same rate of speed. Therefore, the correct answer is D. None of the three trucks are traveling at the same rate of speed.
To determine which statement is true, we need to compare the rates of speed at which the trucks are traveling. The rate of speed can be found by dividing the number of miles traveled by the number of hours driven. Let's calculate the rates of speed for each truck:
Truck 1:
Rate of speed = 195 miles / 3 hours = 65 miles per hour
Truck 2:
Rate of speed = 75 miles / 1.5 hours = 50 miles per hour
Truck 3:
Rate of speed = 30 miles / 0.5 hours = 60 miles per hour
Based on our calculations, we can see that the rates of speed for the three trucks are not the same. Therefore, statement D is true. None of the three trucks are traveling at the same rate of speed.
To determine which statement is true, we need to calculate the rate of speed for each truck. The rate of speed can be calculated by dividing the number of miles traveled by the number of hours driven.
For Truck 1:
Rate of speed = Number of miles traveled / Number of hours driven
For Truck 1:
Rate of speed = 195 miles / 3 hours = 65 miles per hour
For Truck 2:
Rate of speed = Number of miles traveled / Number of hours driven
For Truck 2:
Rate of speed = 75 miles / 1.5 hours = 50 miles per hour
For Truck 3:
Rate of speed = Number of miles traveled / Number of hours driven
For Truck 3:
Rate of speed = 30 miles / 0.5 hours = 60 miles per hour
Comparing the rates of speed, we can see that none of the three trucks are traveling at the same rate of speed. Therefore, the correct answer is:
D. None of the three trucks are traveling at the same rate of speed.