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19 May 2025, 00:30
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B
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Difficulty:
25%
(medium)
Question Stats:
85% (01:22) correct
15%
(01:42)
wrong
based on 59
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Machine J runs at a constant rate and produces a lot consisting of 300 bottles in 4 hours. How much less time would it take to produce the lot of bottles if both machines J and P were run simultaneously?
(1) Machine J can only produce a maximum of 10 lots per day.
(2) Machine J produces twice the number of bottles per hour as machine P.
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) Machine J can only produce a maximum of 10 lots per day.
(2) Machine J produces twice the number of bottles per hour as machine P.
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!
19 May 2025, 02:21
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How much less time machines J and P take to produce 300 bottles together compared to J alone.
J produces 300 bottles in 4 hours (rate: \(\frac{300}{4} = 75\) bottles/hour). Need time for J+P together.
Statement 2 gives P’s rate relative to J, allowing J+P time calculation. S1 adds no relevant info for P.
Answer: B
J produces 300 bottles in 4 hours (rate: \(\frac{300}{4} = 75\) bottles/hour). Need time for J+P together.
| Source | Information | Sufficiency |
| Stem | J: 300 bottles in 4 hours | Insufficient, no P rate |
| Statement 1 | J: max 10 lots/day | Insufficient, no P rate |
| Statement 2 | J rate: 2x P rate | Sufficient, J+P rate calculable |
| Statements 1 + 2 | DON'T CHECK ! S2 ENOUGH !!! |
Statement 2 gives P’s rate relative to J, allowing J+P time calculation. S1 adds no relevant info for P.
Answer: B
19 May 2025, 04:08
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Rate of J = 300/4
Bottles in a lot = 300
We need time taken to produce the lot of bottles if both machines J and P were run simultaneously?
S1
J can produce max of 10 lots
No info on P
Insufficient
Interestingly note, if J produces 1 lot in 4hrs, then in a day max 24/4 = 6 lots can be produced logically but this is not a concern.
S2
Machine J produces twice the number of bottles per hour as machine P.
This means in 4ours P can produce only 150 bottles
Together they produced 300+150 bottles in 4hrs = 450
Time to produce 300 bottles together = 4*300/450 = 8/3 hrs
Diff in time = 4-8/3
Sufficient
Answer b
Bottles in a lot = 300
We need time taken to produce the lot of bottles if both machines J and P were run simultaneously?
S1
J can produce max of 10 lots
No info on P
Insufficient
Interestingly note, if J produces 1 lot in 4hrs, then in a day max 24/4 = 6 lots can be produced logically but this is not a concern.
S2
Machine J produces twice the number of bottles per hour as machine P.
This means in 4ours P can produce only 150 bottles
Together they produced 300+150 bottles in 4hrs = 450
Time to produce 300 bottles together = 4*300/450 = 8/3 hrs
Diff in time = 4-8/3
Sufficient
Answer b
Bunuel
