Jeff Miller

GMAT OFFICIAL GUIDE DS – A certain truck uses 1/12+kv^2 gallons of fuel per mile…

A certain truck uses 1/12+kv^2 gallons of fuel per mile…

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 

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