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Joined: 20 Feb 2017
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Barry walks from one end to the other of a 30-meter long moving walkwa
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30 May 2021, 23:44
30 May 2021, 23:44
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62% (02:38) correct
37% (02:24) wrong based on 27 sessions
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Barry walks from one end to the other of a 30-meter long moving walkway at a constant rate in 30 seconds, assisted by the walkway. When he reaches the end, he reverses direction and continues walking with the same speed, but this time it takes him 120 seconds because he is traveling against the direction of the moving walkway. If the walkway were to stop moving, how many seconds would it take Barry to walk from one end of the walkway to the other?
A) 48
B) 60
C) 72
D) 75
E) 80
A) 48
B) 60
C) 72
D) 75
E) 80
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Re: Barry walks from one end to the other of a 30-meter long moving walkwa
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03 Jun 2021, 06:03
03 Jun 2021, 06:03
GeminiHeat wrote:
Barry walks from one end to the other of a 30-meter long moving walkway at a constant rate in 30 seconds, assisted by the walkway. When he reaches the end, he reverses direction and continues walking with the same speed, but this time it takes him 120 seconds because he is traveling against the direction of the moving walkway. If the walkway were to stop moving, how many seconds would it take Barry to walk from one end of the walkway to the other?
A) 48
B) 60
C) 72
D) 75
E) 80
A) 48
B) 60
C) 72
D) 75
E) 80
Let the speed of Barry be \(B\) and speed of the walkway be \(W\)
Case I: Moving along the walkway
\(S = \frac{D}{T}\)
\(B+W = \frac{30}{30}\)
\(B+W = 1\)
Case II: Moving against the walkway
\(S = \frac{D}{T}\)
\(B-W = \frac{30}{120}\)
\(B-W = \frac{1}{4}\)
Solve both the equations to get \(B = \frac{5}{4}\)
Therefore, time required by Barry = \(30(\frac{4}{5}) = 48\) seconds
Hence, option A
Re: Barry walks from one end to the other of a 30-meter long moving walkwa
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11 Dec 2023, 13:20
11 Dec 2023, 13:20
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Thanks to another GRE Prep Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).
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