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Machines A and B both shrink-wrap CDs continuously, each working at a
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25 Jul 2025, 23:17
25 Jul 2025, 23:17
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Question Stats:
80% (04:12) correct
20% (02:18) wrong based on 5 sessions
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Machines A and B both shrink-wrap CDs continuously, each working at a constant rate, but Machine B works 50% faster than Machine A. If Machine B shrink-wraps 48,000 more CDs in 24 hours than Machine A does, what is Machine A’s shrink-wrapping rate in CDs per hour?
(A) 4,000
(B) 6,000
(C) 8,000
(D) 12,000
(E) 16,000
(A) 4,000
(B) 6,000
(C) 8,000
(D) 12,000
(E) 16,000
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Re: Machines A and B both shrink-wrap CDs continuously, each working at a
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Updated on: 26 Jul 2025, 23:07
Updated on: 26 Jul 2025, 23:07
Let Machine A's shrink-wrapping rate per hour be x
As Machine B is faster rate at shrink-wrapping, B's rate of production hour will be 50/100x (because B is 50% faster than A).
24(50/100x - x) = 48,000
24(3/2x - x) = 48,000
36x-24x = 48,000
12x= 48,000
X = 4,000
As Machine B is faster rate at shrink-wrapping, B's rate of production hour will be 50/100x (because B is 50% faster than A).
24(50/100x - x) = 48,000
24(3/2x - x) = 48,000
36x-24x = 48,000
12x= 48,000
X = 4,000
Originally posted by sandysam27 on 25 Jul 2025, 23:53.
Last edited by sandysam27 on 26 Jul 2025, 23:07, edited 1 time in total.
Last edited by sandysam27 on 26 Jul 2025, 23:07, edited 1 time in total.
Re: Machines A and B both shrink-wrap CDs continuously, each working at a
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26 Jul 2025, 00:42
26 Jul 2025, 00:42
Expert Reply
But 36-24 is = 12
48/12 is 4
Which is A and it is the correct answer.
48/12 is 4
Which is A and it is the correct answer.
