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16 Oct 2025, 04:53
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Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
15%
(low)
Question Stats:
100% (00:53) correct
0% (00:00) wrong based on 11 sessions
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Machine A can produce a case of nails in 15 hours. Machine B can produce a case of nails in 12 hours. When both machines are running at the same time, how many hours will it take to produce nine cases?
A. 20
B. 40
C. 54
D. 60
E. 75
A. 20
B. 40
C. 54
D. 60
E. 75
18 Oct 2025, 04:18
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Official Explanation
In 1 hour, Machine A produces 1/5 of a case, and Machine B produces 1/12 of a case. Working together, the machines produce
of a case per hour, found by using the common denominator 60, because 60 is the least common multiple of 12 and 15. This implies that it will take the machines
of an hour to produce one case, because one case. (A number times its reciprocal equals 1.) To produce nine such cases will require hours, (D).
Answer: D
GMAT-Club-Forum-w3ivrwky.png [ 6.99 KiB | Viewed 242 times ]
GMAT-Club-Forum-zxgkeqll.png [ 11.48 KiB | Viewed 241 times ]
In 1 hour, Machine A produces 1/5 of a case, and Machine B produces 1/12 of a case. Working together, the machines produce
of a case per hour, found by using the common denominator 60, because 60 is the least common multiple of 12 and 15. This implies that it will take the machines
of an hour to produce one case, because one case. (A number times its reciprocal equals 1.) To produce nine such cases will require hours, (D).
Answer: D
Attachment:
GMAT-Club-Forum-w3ivrwky.png [ 6.99 KiB | Viewed 242 times ]
Attachment:
GMAT-Club-Forum-zxgkeqll.png [ 11.48 KiB | Viewed 241 times ]
