SOLUTION: Please help me with my take home exam. One computer can solve a complex prime factorization problem in 75 minutes. A second computer can solve the same problem in 50 mins. Ho

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Question 65129: Please help me with my take home exam.

One computer can solve a complex prime factorization problem in 75 minutes.
A second computer can solve the same problem in 50 mins. How long would
it take both computer working together to solve the problems?


Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
First, find the rate (job per minute) of each computer.
If one computer can solve the problem in 75 minutes, then it can solve 1/75 of the problem in 1 minute.
If the second computer can solve the problem in 50 minutes, then it can solve 1/50 of the problem in 1 minute.
Together, the two computers can solve %281%2F75+%2B+1%2F50%29 of the problem in 1 minute.
1%2F75+%2B+1%2F50+=+2%2F150+%2B+3%2F150 = 5%2F150+=+1%2F30
If the two computers can solve 1%2F30 of the problem in 1 minute, then it will take them 30 minutes to solve the whole problem working together.