In the same period of time that a sports car traveled 120 miles, a truck traveled 100 miles. What was the truck's average speed during this period of time?Average Rate = Total Distance/Total Time
So, since the sports car and the truck traveled for the same length of time, the relationship between their rates can be determined in the following way:
Sports Car Rate = 120/T
Truck Rate = 100/T
Sports Car Rate = 1.2 × Truck Rate
(1) During the first 30 minutes, the sports car traveled 30 miles.This gives the sport car's distance and time for the first 30 miles and 30 minutes.
To calculate the sports car's average rate, we need the total distance and total time.
So, this information is not sufficient for determining the sports car's average rate and clearly isn't sufficient for determining the truck's average rate.
Insufficient.
(2) The truck's average speed was 10 miles per hour less than the sports car's.From the passage, we have the following:
Sports Car Rate = 1.2 × Truck Rate
Now, from this statement, we have the absolute difference between the two rates, 10, meaning the following:
Sports Car Rate = Truck Rate + 10
Thus, we know the following:
Truck Rate + 10 = 1.2 × Truck Rate
Without going further, we can see that this information is sufficient for determining the truck's rate.
Sufficient.
Correct answer: B