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Bunuel
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Three friends A, B, and C decide to run around a circular track. They 28 Dec 2021, 08:30
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23% (03:17) correct 77% (02:37) wrong based on 86 sessions

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Three friends A, B, and C decide to run around a circular track. They start at the same time and run in the same direction. A is the quickest and when A finishes a lap, it is seen that C is as much behind B as B is behind A. When A completes 3 laps, C is the exact same position on the circular track as B was when A finished 1 lap. What could be the ratio of the speeds of A, B, and C?

A. 5 : 4 : 2
B. 4 : 3 : 2
C. 5 : 4 : 3
D. 3 : 2 : 1
E. 5 : 3 : 1


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Three friends A, B, and C decide to run around a circular track. They 28 Dec 2021, 09:44
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Both C & E satisfies the conditions.
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IanStewart
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Three friends A, B, and C decide to run around a circular track. They 28 Dec 2021, 10:23
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This question looked familiar -- it's essentially identical to the question I link to below, until you get to the answer choices. The question in this thread has two right answers, so there's something wrong with it. The question below was also initially wrong (it asked for the unique answer to the question, but the question has two answers), but it looks like it was edited to ask what the answer "could" be, so it now makes sense:

https://gmatclub.com/forum/three-friend ... 21669.html
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Three friends A, B, and C decide to run around a circular track. They 25 Feb 2022, 04:12
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Bunuel
Three friends A, B, and C decide to run around a circular track. They start at the same time and run in the same direction. A is the quickest and when A finishes a lap, it is seen that C is as much behind B as B is behind A. When A completes 3 laps, C is the exact same position on the circular track as B was when A finished 1 lap. Find the ratio of the speeds of A, B, and C?

A. 5 : 4 : 2
B. 4 : 3 : 2
C. 5 : 4 : 3
D. 3 : 2 : 1
E. 5 : 3 : 1


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If you go by the answers choices , then both C and E satisfies the condition. According to each answer choice, take A's speed as the number of equally spaced points on the circle and then check the positioning of B and C as asked in the question. You will get both choice C and E as answers.
Obviously the question is wrong.
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Three friends A, B, and C decide to run around a circular track. They 04 Mar 2022, 20:26
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Let say Circular Lap was x km

B was a km behind A when A completed lap

so Position of B = x - a km

position of C = x -a - a = x - 2a km

let say t was time taken

Speed of A , B & C respectively = x/t , (x-a)/t , (x-2a)/t

When A completed 3 laps distance covered by a = 3x

time take = 3x/(x/t) = 3t

B completed the distance = 3x - 3a km

C completed the Distance = 3x - 6a km

3x - 6a has same position as x-a

either 3x - 6a = x-a (did not complete even single lap)

or 3x-6a = x + x - a (completed one lap)

=> x = 5a/2 or x = 5a

Ratio of Speed of A, B , C are (5a/2)/t : (5a/2 - a)/t : (5a/2 - 2a)/t ,

5 : 3 : 1

or

Ratio of Speed of A, B , C are (5a)/t : (5a - a)/t : (5a - 2a)/t ,

5 : 4 : 3

5 : 4 : 3 is the option given so this is the right answer
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Three friends A, B, and C decide to run around a circular track. They 01 Nov 2024, 04:37
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