Before leaving home for the town of Madison, Pete checks a

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BTGmoderatorDC: Moderator; Posts: 7187; Joined: Thu Sep 07, 2017 4:43 pmFollowed by: 23 members

by BTGmoderatorDC » Mon Sep 02, 2019 10:04 pm

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Before leaving home for the town of Madison, Pete checks a map which shows that Madison is 5 inches from his current location, Gardensquare. Pete arrives in Madison 2.5 hours later and drove at an average speed of 60 miles per hour. At what scale, in inches per mile, is the map drawn?

A. 1/3
B. 1/30
C. 1/10
D. 2
E. 30

OA B

Source: Princeton Review

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Source: Beat The GMAT — Problem Solving | Mon Sep 02, 2019 10:04 pm

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Ian Stewart: GMAT Instructor; Posts: 2623; Joined: Mon Jun 02, 2008 3:17 amFollowed by: 355 members; Location: Montreal; Thanked: 1090 times; GMAT Score:780

by Ian Stewart » Tue Sep 03, 2019 12:25 pm

Someone driving at 60 mph for 2.5 hours will drive a total of (2.5)(60) = 150 miles. If that distance corresponds to 5 inches on the map, then the scale of the map is 5 inches per 150 miles, or 1 inch per 30 miles, so 1/30 is the answer.

That's assuming he drove in a straight line, which is something the question really needs to say.

For online GMAT math tutoring, or to buy my higher-level Quant books and problem sets, contact me at ianstewartgmat at gmail.com

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Scott@TargetTestPrep: GMAT Instructor; Posts: 8207; Joined: Sat Apr 25, 2015 10:56 amFollowed by: 29 members; Location: Los Angeles, CA; Thanked: 43 times

by Scott@TargetTestPrep » Thu Sep 05, 2019 5:04 am

BTGmoderatorDC wrote:Before leaving home for the town of Madison, Pete checks a map which shows that Madison is 5 inches from his current location, Gardensquare. Pete arrives in Madison 2.5 hours later and drove at an average speed of 60 miles per hour. At what scale, in inches per mile, is the map drawn?

A. 1/3
B. 1/30
C. 1/10
D. 2
E. 30

OA B

Source: Princeton Review

We see that Pete has driven 60 x 2.5 = 150 miles from Madison to Gardensquare. Since this distance is 5 inches on the map,then the map's scale is represented by 150/5 = 30 miles per inch, or 1/30 inches per mile.

Answer: B

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