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15 Jun 2021, 08:45
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A
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
25%
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Question Stats:
82% (02:02) correct
18%
(02:18)
wrong
based on 163
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Machines X and Y pack books continuously, each working at a constant rate, but Machine Y works 50% faster than Machine X. If Machine Y packs 48,000 more books in a 24-hour period than Machine X does, what is Machine X’s packing rate in books 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
Archit3110
15 Jun 2021, 08:57
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rate per hour of machine X = a
and that of b = 1.5a
given Machine Y packs 48,000 more books in a 24-hour period than Machine X does
24*(1.5a-a)=48000
a = 4000
option A
and that of b = 1.5a
given Machine Y packs 48,000 more books in a 24-hour period than Machine X does
24*(1.5a-a)=48000
a = 4000
option A
Bunuel
15 Jun 2021, 09:19
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What helps me in solving these questions is to keep in mind:
What value do I ultimately want?. The answer to that in this case is books per hour.
That’s step 1.
Step 2: Find books per hour for Y: That would be 2,000 more books than X.
The more is important here.
Step 3: Y is 1.5 times as efficient as X. This means,
If X produces x books, Y produces 1.5x books or 1.5x-1x = 0.5x more
So, 0.5x = 2000; x will pack 4K books
What value do I ultimately want?. The answer to that in this case is books per hour.
That’s step 1.
Step 2: Find books per hour for Y: That would be 2,000 more books than X.
The more is important here.
Step 3: Y is 1.5 times as efficient as X. This means,
If X produces x books, Y produces 1.5x books or 1.5x-1x = 0.5x more
So, 0.5x = 2000; x will pack 4K books
