GRE- Quantitative Reasoning
QUESTION: 5

Cynthia drove for seven hours at an average rate of 50 miles per hour (mph) and for one hour at
an average rate of 60 mph. What was her average rate for the entire trip?
______ miles per hour

Express you answer as a decimal number to the nearest two places right of the decimal point.
(You can round either up or down.)

Answer(s): 51.25
Explanation: Think of Cynthia's average rate as the average of eight equal y weighted one-
hour trips. Seven of those trips receive a weight of 50, and one of the trips receives a weight of
60. You can express this algebraical y as follows:
Cynthia's average rate during the entire trip was 51.25 mph. (There's no need to round either up
or down to the nearest hundredth.)

QUESTION: 6

Once a month, a crop duster sprays a triangular area defined by three farm houses: A, B, and
C, as indicated in the figure. Farmhouse C is located 7 kilometers due east of farmhouse B, as
shown. If farmhouse A is located 10 kilometers further west than farmhouse C, what is the total
area that the crop duster sprays?

A. 12.5 km2
B. 14 km2
C. 15 km2
D. 15.5 km2
E. 17.5 km2
Answer(s): B
Explanation: The area of any triangle
= height. Using 7 kilometers as the base of the
triangle in this problem, the triangle's height is the north-south (vertical) distance from A to an

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