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

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Math Expert
Joined: 02 Sep 2009
Posts: 52294
Recently, scientists were able to sequence an individual's humane geno  [#permalink]

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30 May 2016, 12:25
00:00

Difficulty:

25% (medium)

Question Stats:

77% (01:53) correct 23% (02:14) wrong based on 94 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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Joined: 17 May 2016
Posts: 67
GMAT 1: 720 Q49 V39
GPA: 3.7
WE: Analyst (Investment Banking)
Recently, scientists were able to sequence an individual's humane geno  [#permalink]

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30 May 2016, 13:55
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

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Director
Joined: 20 Feb 2015
Posts: 795
Concentration: Strategy, General Management
Re: Recently, scientists were able to sequence an individual's humane geno  [#permalink]

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30 May 2016, 22:49
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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Joined: 18 Jan 2010
Posts: 251
Re: Recently, scientists were able to sequence an individual's humane geno  [#permalink]

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31 May 2016, 00:41
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.

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Joined: 09 Sep 2013
Posts: 9444
Re: Recently, scientists were able to sequence an individual's humane geno  [#permalink]

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10 Jun 2018, 12:50
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

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Re: Recently, scientists were able to sequence an individual's humane geno &nbs [#permalink] 10 Jun 2018, 12:50
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