One inch represents 20 miles on Map K and one inch represents 30 miles on Map L. An area of 3 square inches represents h

[BTGModeratorVI]

One inch represents 20 miles on Map K and one inch represents 30 miles on Map L. An area of 3 square inches represents how many more square miles on Map L than on Map K ?

A. 30
B. 400
C. 500
D. 900
E. 1,500

Answer: E
Source: Official guide

[Brent@GMATPrepNow]

One inch represents 20 miles on Map K and one inch represents 30 miles on Map L. An area of 3 square inches represents how many more square miles on Map L than on Map K ?

A. 30
B. 400
C. 500
D. 900
E. 1,500

Answer: E
Source: Official guide

An area of 3 square inches represents how many more square miles on Map L than on Map K ?
If we want to find an area of 3 square inches, we can make things easy on ourselves by finding the area of a rectangle measuring 1 inch by 3 inches

One inch represents 20 miles on Map K
So, 1 inch = 20 miles on Map K
And 3 inches = 60 miles on Map K
Area = (20 miles)(60 miles) = 1200 square miles

One inch represents 30 miles on Map L
So, 1 inch = 30 miles on Map L
And 3 inches = 90 miles on Map L
Area = (30 miles)(90 miles) = 2700 square miles


DIFFERENCE in areas = 2700 - 1200 = 1500

Answer: E

Cheers,
Brent

[Scott@TargetTestPrep]

One inch represents 20 miles on Map K and one inch represents 30 miles on Map L. An area of 3 square inches represents how many more square miles on Map L than on Map K ?

A. 30
B. 400
C. 500
D. 900
E. 1,500

Answer: E
Source: Official guide

Solution:

On Map K, since 1 inch = 20 miles, then 1 in^2 = 400 mi^2, and 3 in^2 = 1200 mi^2.

On Map L, since 1 inch = 30 miles, then 1 in^2 = 900 mi^2, and 3 in^2 = 2700 mi^2.

Thus, the difference is 2700 - 1200 = 1500 mi^2.

Answer: E