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27 Jul 2024, 05:00
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B
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Difficulty:
5%
(low)
Question Stats:
96% (00:51) correct
4%
(00:56)
wrong
based on 285
sessions
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Eric can vacuum the carpenting in a particular office suite in 20 minutes. Ray can vacuum the the carpenting in the same office suite in 30 minutes. If they work together at their individual constant rates, how many minutes will they take to vacuum the carpenting in the office suite?
A) 10
B) 12
C) 24
D) 25
E) 30
A) 10
B) 12
C) 24
D) 25
E) 30
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Spectre26
Joined: 20 May 2023
Last visit: 22 Dec 2025
Posts: 104
Own Kudos:
Given Kudos: 82
Location: India
Concentration: Strategy, Operations
Schools: IIMA '26 (A)
GMAT Focus 1: 645 Q85 V81 DI79 
GPA: 8.5/10
WE:Project Management (Manufacturing)
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27 Jul 2024, 05:15
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Eric takes 20 minutes to complete the job
in 1 minute he will complete - 1/20th of the job
Ray takes 30 minutes to complete the job
in 1 minute he will complete - 1/30th of the job
If both of them work together, in 1 minute they will complete
1/20 + 1/30 = (3+2)/60 = 1/12th of the job
Hence to complete the entire job they will take 12 minutes.
Correct Option: B
in 1 minute he will complete - 1/20th of the job
Ray takes 30 minutes to complete the job
in 1 minute he will complete - 1/30th of the job
If both of them work together, in 1 minute they will complete
1/20 + 1/30 = (3+2)/60 = 1/12th of the job
Hence to complete the entire job they will take 12 minutes.
Correct Option: B
27 Jul 2024, 05:17
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AnkurGMAT20
The answer must be less than 20 minutes. So, the answer is either A or B. 10 minutes would have been the answer if both individually could vacuum in 20 minutes (then together they'd need half the time of each, so 10 minutes). Thus, the answer is 12 minutes.
Alternatively, you could solve it by finding the combined rate: 1/20 + 1/30 = 1/12, which means the time needed for them combined is 12 minutes.
Answer: B.
