Distance Problem

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gmat009: Master | Next Rank: 500 Posts; Posts: 458; Joined: Sun Aug 31, 2008 10:44 am; Thanked: 3 times; Followed by:1 members

Distance Problem

by gmat009 » Tue Oct 07, 2008 9:01 pm

Anne traveled from City A to City B in 4 hours, and her speed was between 25 miles per hour and 45 miles per hour. John traveled from City A to City B along the same route in 2 hours, and his speed was between 45 miles per hour and 60 miles per hour.
Which of the following could be the distance, in miles, from City A to City B?
A. 95 B. 115 C. 125 D. 160 E. 180

OA is B

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Source: Beat The GMAT — Problem Solving | Tue Oct 07, 2008 9:01 pm

vishubn: Legendary Member; Posts: 574; Joined: Sun Jun 01, 2008 8:48 am; Location: Bangalore; Thanked: 28 times

by vishubn » Tue Oct 07, 2008 9:54 pm

Hi

this was some !

Distances are same

(25-45)*4=(45-60)*2

so the distance is between

100-180 / 90-120

from this we know the distance range is 101-120

fro mthe answer chocie it is 115 is the answer

Vishu

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Scott@TargetTestPrep: GMAT Instructor; Posts: 8085; Joined: Sat Apr 25, 2015 10:56 am; Location: Los Angeles, CA; Thanked: 43 times; Followed by:29 members

by Scott@TargetTestPrep » Thu Jan 04, 2018 9:23 am

gmat009 wrote:Anne traveled from City A to City B in 4 hours, and her speed was between 25 miles per hour and 45 miles per hour. John traveled from City A to City B along the same route in 2 hours, and his speed was between 45 miles per hour and 60 miles per hour.
Which of the following could be the distance, in miles, from City A to City B?
A. 95
B. 115
C. 125
D. 160
E. 180

Let's use the minimum and maximum speeds.

Minimum for Anne: 25 x 4 = 100 miles

Maximum for Anne: 45 x 4 = 180 miles

Thus:

100 < d < 180

Minimum for John: 45 x 2 = 90 miles

Maximum for John: 60 x 2 = 120 miles

Thus:

90 < d < 120

Using both inequalities, we have:

100 < d < 120

Answer:B

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