Truck 1. Truck 2. Truck3
Hours. Miles. Hours. Miles. Hours. Miles
3. 195. 1.5. 75 0.5. 30
4. 260. 2.5. 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. Truck 1 and 3 are traveling at the same rate of speed, but Truck 2 is traveling more e quickly
D. Trucks 1 and 2 are traveling at the same rate of speed, but Truck 3 is traveling more slowly
To determine which statement is true, we need to compare the rates of speed at which the three trucks are traveling.
First, let's calculate the rate of speed for each truck by dividing the distance traveled by the time taken:
Truck 1:
Rate of speed = Distance / Time
= 195 miles / 3 hours
= 65 miles per hour
Truck 2:
Rate of speed = Distance / Time
= 75 miles / 1.5 hours
= 50 miles per hour
Truck 3:
Rate of speed = Distance / Time
= 30 miles / 0.5 hours
= 60 miles per hour
Now, let's compare the rates of speed:
Truck 1: 65 miles per hour
Truck 2: 50 miles per hour
Truck 3: 60 miles per hour
Since none of the trucks have the same rate of speed, we can eliminate options B and D.
Therefore, the statement that is true is:
A. 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 for each truck. The rate of speed can be calculated by dividing the distance traveled by the time taken.
Let's calculate the rates of speed for each truck:
Truck 1:
Rate of speed for Truck 1 = Distance / Time
= 195 miles / 3 hours
= 65 miles per hour
Truck 2:
Rate of speed for Truck 2 = Distance / Time
= 75 miles / 1.5 hours
= 50 miles per hour
Truck 3:
Rate of speed for Truck 3 = Distance / Time
= 30 miles / 0.5 hours
= 60 miles per hour
Now let's compare the rates of speed for each truck:
Truck 1 is traveling at 65 miles per hour.
Truck 2 is traveling at 50 miles per hour.
Truck 3 is traveling at 60 miles per hour.
Based on the calculations, we can see that none of the three trucks are 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.