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?
Correct answer: A
Explanation
Given:
The old computer does work in: 24 weeks ---> r = 1/24/week
The new computers does the work in: 4 weeks ---> r = 1/4/week
Together both computers do: r = 1/24+ 1/4 = 7/24/week
Find: t - ?
Solution:
If both computers do: 7/24 of total work per week
7/24 = 3.42
3.42 x 7 = 23.94 or 24 days
A
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