This lesson is part of a series of practice test questions for the quantitative reasoning section of the GRE revised General Test.

Example 1:

This is a multiple-choice question, select only one answer from a list of five choices.

For the first 5 hours of a trip, a plane averaged 120 kilometers per hour. For the remainder of the trip, the plane travelled an average speed of 180 kilometers per hour. If the average speed for the entire trip was 170 kilometers per hour, how many hours long was the entire trip?

(A) 15

(B) 20

(C) 25

(D) 30

(E) 35 These are the directions for the Quantitative Comparison Questions.

Directions: Compare Quantity A and Quantity B, using additional information centered above the two quantities if such information is given, and select one of the following four answer choices:

(A) Quantity A is greater.

(B) Quantity B is greater.

(C) The two quantities are equal.

(D) The relationship cannot be determined from the information given.

Example 2:

Cleve is 4 times as old as Al. Bob is 3 years younger than Al. The sum of their ages is 81.

Quantity A: Al's age

Quantity B: 13

Example 3:

The speed of light is approximately 3 × 10^{5} kilometers per second.

Quantity A: Approximate number of kilometers that light can travel in 1 hour.

Quantity B: 1.08 × 10^{8}
Example 4:

In 12 years, Murray will be 4 times as old as he is now.

Quantity A: Number of years until Murray is 8 times as old as he is now.

Quantity B: 24 Example 5:

The population of bacteria doubles every 30 minutes. At 3:30 pm on Monday, the population was 240.

Quantity A: The bacteria population at 2:00 pm on Monday.

Quantity B: 40

You can use the free Mathway calculator and problem solver below to practice Algebra or other math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.

Example 1:

This is a multiple-choice question, select only one answer from a list of five choices.

For the first 5 hours of a trip, a plane averaged 120 kilometers per hour. For the remainder of the trip, the plane travelled an average speed of 180 kilometers per hour. If the average speed for the entire trip was 170 kilometers per hour, how many hours long was the entire trip?

(A) 15

(B) 20

(C) 25

(D) 30

(E) 35 These are the directions for the Quantitative Comparison Questions.

Directions: Compare Quantity A and Quantity B, using additional information centered above the two quantities if such information is given, and select one of the following four answer choices:

(A) Quantity A is greater.

(B) Quantity B is greater.

(C) The two quantities are equal.

(D) The relationship cannot be determined from the information given.

Example 2:

Cleve is 4 times as old as Al. Bob is 3 years younger than Al. The sum of their ages is 81.

Quantity A: Al's age

Quantity B: 13

The speed of light is approximately 3 × 10

Quantity A: Approximate number of kilometers that light can travel in 1 hour.

Quantity B: 1.08 × 10

In 12 years, Murray will be 4 times as old as he is now.

Quantity A: Number of years until Murray is 8 times as old as he is now.

Quantity B: 24 Example 5:

The population of bacteria doubles every 30 minutes. At 3:30 pm on Monday, the population was 240.

Quantity A: The bacteria population at 2:00 pm on Monday.

Quantity B: 40

Rotate to landscape screen format on a mobile phone or small tablet to use the **Mathway** widget, a free math problem solver that **answers your questions with step-by-step explanations**.

You can use the free Mathway calculator and problem solver below to practice Algebra or other math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.

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