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Two points A and B are connected to each other via three paths, as shown in the figure.

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by Gmat_mission » Sun Jan 17, 2021 10:47 am

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B

C

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E

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abc.png
Two points A and B are connected to each other via three paths, as shown in the figure. A person needs to make a round trip from A to B and then back to A, using any of the three paths. What is the ratio of the possible total distances covered, if he never uses the same path for both onward and returns journey?

A. 20: 24: 30
B. 20: 25: 27
C. 22: 24: 27
D. 22: 25: 30
E. 22: 25: 27

Answer: E

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Re: Two points A and B are connected to each other via three paths, as shown in the figure.

by Scott@TargetTestPrep » Tue Jan 26, 2021 4:39 am
Gmat_mission wrote: ↑
Sun Jan 17, 2021 10:47 am
 abc.png

Two points A and B are connected to each other via three paths, as shown in the figure. A person needs to make a round trip from A to B and then back to A, using any of the three paths. What is the ratio of the possible total distances covered, if he never uses the same path for both onward and returns journey?

A. 20: 24: 30
B. 20: 25: 27
C. 22: 24: 27
D. 22: 25: 30
E. 22: 25: 27

Answer: E

Solution:

We see that the possible distances for the round trip if different paths are taken for both parts of the journey are 10 + 12 = 22 miles, 10 + 15 = 25 miles and 12 + 15 = 27 miles. Thus, choice E is the correct answer.

Answer: E

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