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30 May 2016, 13:25
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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:
15%
(low)
Question Stats:
85% (01:58) correct
15%
(02:06)
wrong
based on 162
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Recently, scientists were able to sequence an individual's humane genome in just 4 weeks using a super fast modern computer. A computer manufactured just 2 years earlier would have taken 24 weeks to do the same amount of work.
For more targeted treatment of his cancer, Steve needs his human genome to be sequenced as soon as possible and scientists plan to use both the super fast modern computer and the 2 year-old computer to get the job done. Assuming both computers can tackle discrete components of the genome sequencing process, how many days should doctors expect to have the results of Steve's human genome sequencing project?
(A) 24
(B) 25
(C) 26
(D) 28
(E) 30
For more targeted treatment of his cancer, Steve needs his human genome to be sequenced as soon as possible and scientists plan to use both the super fast modern computer and the 2 year-old computer to get the job done. Assuming both computers can tackle discrete components of the genome sequencing process, how many days should doctors expect to have the results of Steve's human genome sequencing project?
(A) 24
(B) 25
(C) 26
(D) 28
(E) 30
30 May 2016, 14:55
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Given:
The old computer does work in: 24 weeks ---> r = \(\frac{1}{24}\)/week
The new computers does the work in: 4 weeks ---> r = \(\frac{1}{4}\)/week
Together both computers do: r = \(\frac{1}{24}\) + \(\frac{1}{4}\) = \(\frac{7}{24}\)/week
Find: t - ?
Solution:
If both computers do: \(\frac{7}{24}\) of total work per week
\(\frac{7}{24}\) = 3.42
3.42 x 7 = 23.94 or 24 days
Answer: A
The old computer does work in: 24 weeks ---> r = \(\frac{1}{24}\)/week
The new computers does the work in: 4 weeks ---> r = \(\frac{1}{4}\)/week
Together both computers do: r = \(\frac{1}{24}\) + \(\frac{1}{4}\) = \(\frac{7}{24}\)/week
Find: t - ?
Solution:
If both computers do: \(\frac{7}{24}\) of total work per week
\(\frac{7}{24}\) = 3.42
3.42 x 7 = 23.94 or 24 days
Answer: A
30 May 2016, 23:49
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In a week the superfast computer can do 1/4 of the task
similarly the older one can do 1/24 of the task
they both can do
(1/4) + (1/24) = 7/24 of the job
in a week
therefore to finish the project they both together will take 24/7 weeks
which is
3.428 weeks
in days = (3.428 * 7) = 24 days
similarly the older one can do 1/24 of the task
they both can do
(1/4) + (1/24) = 7/24 of the job
in a week
therefore to finish the project they both together will take 24/7 weeks
which is
3.428 weeks
in days = (3.428 * 7) = 24 days
