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OG: One inch represents 20 miles on Map K and one inch represents 30 miles on Map L

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by AbeNeedsAnswers » Tue May 19, 2020 7:05 pm

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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

E
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Re: OG: One inch represents 20 miles on Map K and one inch represents 30 miles on Map L

by Brent@GMATPrepNow » Wed May 20, 2020 5:41 am
AbeNeedsAnswers wrote: ↑
Tue May 19, 2020 7:05 pm
 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

E
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

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Brent
Brent Hanneson - Creator of GMATPrepNow.com
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Re: OG: One inch represents 20 miles on Map K and one inch represents 30 miles on Map L

by Scott@TargetTestPrep » Sun May 24, 2020 6:04 am
AbeNeedsAnswers wrote: ↑
Tue May 19, 2020 7:05 pm
 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

E
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

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