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13 May 2025, 00:30
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B
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
5%
(low)
Question Stats:
95% (00:43) correct
5%
(00:49)
wrong
based on 44
sessions
History
Date
Time
Result
Not Attempted Yet
It takes Joe and Ted four hours to paint a room when they work together. How long does it take Joe working by himself to paint the same room?
(1) The dimensions of the room are 12' by 12' by 8'.
(2) It takes Ted seven hours to paint the room by himself.
Gentle note to all experts and tutors: Please refrain from replying to this question until the Official Answer (OA) is revealed. Let students attempt to solve it first. You are all welcome to contribute posts after the OA is posted. Thank you all for your cooperation!
(1) The dimensions of the room are 12' by 12' by 8'.
(2) It takes Ted seven hours to paint the room by himself.
Gentle note to all experts and tutors: Please refrain from replying to this question until the Official Answer (OA) is revealed. Let students attempt to solve it first. You are all welcome to contribute posts after the OA is posted. Thank you all for your cooperation!
13 May 2025, 01:11
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Rate together = 1/4
Rate Ted = 1/7
Rate Joe = 1/R
S1
We need the Rate Joe information and not the dimension of the room
Insufficient
S2
1/4 = 1/7 + 1/R
1/R = 3/28
R = 28/3
Sufficient
Answer B
Rate Ted = 1/7
Rate Joe = 1/R
S1
We need the Rate Joe information and not the dimension of the room
Insufficient
S2
1/4 = 1/7 + 1/R
1/R = 3/28
R = 28/3
Sufficient
Answer B
Bunuel
13 May 2025, 11:24
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The question stem tells us Joe and Ted together take 4 hours, and we need \(T_{Joe}\).
Since Statement 2 alone is sufficient to determine Joe’s time, Statement 1 is unnecessary.
Answer: B
| Source | Information Provided | Sufficiency |
| Question Stem | Joe + Ted: 4 hours to paint the room. | Insufficient, as individual rates or times are missing. |
| Statement 1 | Room dimensions: 12' × 12' × 8'. | Insufficient, as dimensions don’t inform us about Joe’s or Ted’s painting rates. |
| Statement 2 | Ted: 7 hours to paint the room alone. | Sufficient. The combined rate from the stem and Ted’s rate allow us to derive Joe’s rate and find \(T_{Joe}\). |
| Statements 1 + 2 | STOP HERE !! | Statement 2 alone is sufficient; no need to combine ! |
Since Statement 2 alone is sufficient to determine Joe’s time, Statement 1 is unnecessary.
Answer: B
