Question

Truck 1. Truck 2. Truck 3
Hors. Miles. Hours. Miles. Hours. Miles
3. 195. 1.5. 75. 0.5. 30
4. 260. 1.75. 87.5. 1.25. 75
4.5. 292.5. 2.5. 125. 3.5. 210
Three trucks travel the given distances in the specified amounts of time. Which statement is true.
A. None of the three trucks are traveling at the same rate of speed
B. All three trucks are traveling at the same rate of speed
C. Trucks 1 and 3 are traveling at the same rate of speed, but truck 2 is traveling more quickly
D. Trucks 1 and 2 are traveling at the same rate of speed, but Truck 3 is traveling more slowly

Answer 1

To determine which statement is true, we need to calculate the rate of speed (in miles per hour) for each truck.

For Truck 1:
Speed = Distance / Time
Speed = 195 miles / 1.5 hours
Speed ≈ 130 miles per hour

For Truck 2:
Speed = Distance / Time
Speed = 75 miles / 0.5 hours
Speed = 150 miles per hour

For Truck 3:
Speed = Distance / Time
Speed = 30 miles / 4 hours
Speed = 7.5 miles per hour

Based on the calculations, we can see that Trucks 1, 2, and 3 are not traveling at the same rate of speed. Therefore, the correct statement is:

A. None of the three trucks are traveling at the same rate of speed