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Recently, scientists were able to sequence an individual's humane geno

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Recently, scientists were able to sequence an individual's humane geno  [#permalink]

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New post 30 May 2016, 13:25
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A
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E

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Question Stats:

77% (01:53) correct 23% (02:14) wrong based on 92 sessions

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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

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Recently, scientists were able to sequence an individual's humane geno  [#permalink]

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New post 30 May 2016, 14:55
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
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Re: Recently, scientists were able to sequence an individual's humane geno  [#permalink]

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New post 30 May 2016, 23:49
1
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
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Re: Recently, scientists were able to sequence an individual's humane geno  [#permalink]

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New post 31 May 2016, 01:41
Bunuel wrote:
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




Total time taken by New computer: 4 weeks = 28 days.
Work done by this computer in one day: (1/28)


Total time taken by Older computer: 24 weeks = 24*7 days = 168 days.
Work done by this computer in one day: (1/(168)

Both computers together can do \(\frac{1}{28}\) + \(\frac{1}{168}\) work in one day

= \(\frac{6}{168}\) + \(\frac{1}{168}\)

= \(\frac{7}{168}\)

= \(\frac{1}{24}\) work in one day

Both computers will do full work in 24 days.


A is the answer.
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Re: Recently, scientists were able to sequence an individual's humane geno  [#permalink]

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New post 10 Jun 2018, 13:50
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Re: Recently, scientists were able to sequence an individual's humane geno &nbs [#permalink] 10 Jun 2018, 13:50
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