Last Updated on May 10, 2023
GMAT OFFICIAL GUIDE DS
Solution:
We must determine the value of v when 1/12 + kv^2 = 5/12. We see that if we know the value of k, or if we can determine a value for k, we can determine the value of v in the equation 1/12 + kv^2 = 5/12.
Statement One Alone:
The value of k is 1/10,800.
Since we have the value of k, we can determine the value of v in the equation 1/12 + kv^2 = 5/12. Statement one alone is sufficient to answer the question. We can eliminate answer choices B, C, and E.
Statement Two Alone:
When the truck travels at 30 miles per hour, it uses 1/6 gallon of fuel per mile.
Using the information in statement two we can create the following equation:
1/6 = 1/12 + k(30^2)
We see that we have enough information to determine a value for k, and, when we have a value for k, we can determine the value of v in the equation 1/12 + kv^2 = 5/12. Statement two alone is sufficient to answer the question.
Answer: D