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16 Sep 2014, 01:03
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Computer A requires 36 hours to process data. If Computer A starts working at 7 pm on Monday, and Computer B, which is three times as fast as Computer A, joins in after half the data is processed, when will the data processing be complete?
A. 4:30 pm on Tuesday
B. 5:30 pm on Tuesday
C. 7:00 pm on Tuesday
D. 8:30 pm on Tuesday
E. 10:30 pm on Tuesday
A. 4:30 pm on Tuesday
B. 5:30 pm on Tuesday
C. 7:00 pm on Tuesday
D. 8:30 pm on Tuesday
E. 10:30 pm on Tuesday
16 Sep 2014, 01:03
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Official Solution:
Computer A requires 36 hours to process data. If Computer A starts working at 7 pm on Monday, and Computer B, which is three times as fast as Computer A, joins in after half the data is processed, when will the data processing be complete?
A. 4:30 pm on Tuesday
B. 5:30 pm on Tuesday
C. 7:00 pm on Tuesday
D. 8:30 pm on Tuesday
E. 10:30 pm on Tuesday
Computer A will process the first half of the data in 18 hours. Computer A and Computer B working together will process the remaining half four times faster (since Computer B is three times as fast as Computer A, together they are four times as fast as Computer A alone). The entire task will require \(18 + \frac{18}{4} = 22.5\) hours, which is 1.5 hours short of the 24-hour cycle. Therefore, if the processing starts at 7 pm on Monday, it will complete at 5:30 pm on Tuesday.
Answer: B
Computer A requires 36 hours to process data. If Computer A starts working at 7 pm on Monday, and Computer B, which is three times as fast as Computer A, joins in after half the data is processed, when will the data processing be complete?
A. 4:30 pm on Tuesday
B. 5:30 pm on Tuesday
C. 7:00 pm on Tuesday
D. 8:30 pm on Tuesday
E. 10:30 pm on Tuesday
Computer A will process the first half of the data in 18 hours. Computer A and Computer B working together will process the remaining half four times faster (since Computer B is three times as fast as Computer A, together they are four times as fast as Computer A alone). The entire task will require \(18 + \frac{18}{4} = 22.5\) hours, which is 1.5 hours short of the 24-hour cycle. Therefore, if the processing starts at 7 pm on Monday, it will complete at 5:30 pm on Tuesday.
Answer: B
09 Jun 2016, 14:53
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Can someone show the math that proves that A+B = 4x as fast as A alone? I conceptually understand (I think) but it would be nice to see the numbers work out.
