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

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by M7MBA » Sun Feb 21, 2021 12:02 am

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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

Answer: E

Source: Official Guide

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Brent@GMATPrepNow: GMAT Instructor; Posts: 16207; Joined: Mon Dec 08, 2008 6:26 pmFollowed by: 1268 members; Location: Vancouver, BC; Thanked: 5254 times; GMAT Score:770

Re: One inch represents $20$ miles on Map $K$ and one inch represents $30$ miles on Map $L.$ An area of $3$ sq

by Brent@GMATPrepNow » Mon Feb 22, 2021 4:04 am

M7MBA wrote: ↑
Sun Feb 21, 2021 12:02 am
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

Brent Hanneson - Creator of GMATPrepNow.com

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Scott@TargetTestPrep: GMAT Instructor; Posts: 8155; Joined: Sat Apr 25, 2015 10:56 amFollowed by: 29 members; Location: Los Angeles, CA; Thanked: 43 times

Re: One inch represents $20$ miles on Map $K$ and one inch represents $30$ miles on Map $L.$ An area of $3$ sq

by Scott@TargetTestPrep » Sun Mar 07, 2021 12:37 pm

M7MBA wrote: ↑
Sun Feb 21, 2021 12:02 am
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

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Founder and CEO
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