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

[Gmat_mission]

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

Source: e-GMAT

[Scott@TargetTestPrep]

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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