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08 Nov 2018, 03:25
Kudos
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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:
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17% (02:31) correct
83%
(02:35)
wrong
based on 41
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There are 4 card-processing machines in an office. The fastest of these machines processes x cards in 7 hours and the slowest processes x cards in 8 hours. Which of the following could be the average time per machine for each of the 4 machines to process x cards?
(A) 7.2
(B) 7.3
(C) 7.5
(D) 7.6
(E) 7.7
(A) 7.2
(B) 7.3
(C) 7.5
(D) 7.6
(E) 7.7
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08 Nov 2018, 05:00
Kudos
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We need to find out average of Four Machine.
We have one restriction that is rate of each machine is between 7 and 8.
Slowest Plus fastest =15 so remaining two will be the difference of total -15.
Lets check the answer:
A: 7.2 is avg of all four total : 7.2*4 = 28.8 remaining 28.8 -15 = 13.8 ( answer has to be between 14 and 15)
B 7.3 total: 7.3*4 = 29.2 ---- 29.2-15 = 14.2 yes HOLD
C: 7.5 Total: 30 -----30-15 =15 no
D 7.6 total 30.4--- 30.4-15 =15.4 no
E 7.7 total 30.8---- 30.8-15 = 15.8 NO
Answer B.
We have one restriction that is rate of each machine is between 7 and 8.
Slowest Plus fastest =15 so remaining two will be the difference of total -15.
Lets check the answer:
A: 7.2 is avg of all four total : 7.2*4 = 28.8 remaining 28.8 -15 = 13.8 ( answer has to be between 14 and 15)
B 7.3 total: 7.3*4 = 29.2 ---- 29.2-15 = 14.2 yes HOLD
C: 7.5 Total: 30 -----30-15 =15 no
D 7.6 total 30.4--- 30.4-15 =15.4 no
E 7.7 total 30.8---- 30.8-15 = 15.8 NO
Answer B.
08 Nov 2018, 07:15
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selim
Am I missing something?
It seems that B, C, D and E are all possible.
For example, the 4 times (to process x cards) COULD be 7 hrs, 7.5 hrs, 7.5 hrs and 8 hrs
Here, the average time = (7 + 7.5 + 7.5 + 8)/4 = 7.5 hours (answer choice C)
Cheers,
Brent
