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.

1 answer

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.