SOLUTION: Parallel processing is the simultaneous use of more than one computer to run a program. Suppose one computer, working alone, takes 16 h longer than a second computer to run a progr

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Question 1003593: Parallel processing is the simultaneous use of more than one computer to run a program. Suppose one computer, working alone, takes 16 h longer than a second computer to run a program. After both computers work together for 1 h, the faster computer crashes. The slower computer continues working for another 14 h before completing the program. How long would it take the faster computer, working alone, to run the program?
Answer by josmiceli(19441)   (Show Source): You can put this solution on YOUR website!
Let = time in hours for the faster
computer to run the program
= time in hours for the
slower computer to run the program
---------------------------------
Faster computer's rate:
[ 1 program ] / [ t hrs ] =
Slower computer's rate:
[ 1 program ] / [ t + 16 hrs ] =
-------------------------------------
Let = the fraction of the program that
computers get done in 1 hour
Add their rates of computing to get their rate
working together to get:
[ x fraction of program done ] / [ 1 hr] =

--------------------------
The fraction of the job left to do is:

In the following 14 hours the slower computer
finishes the job, working at the rate:
, so I can say:



Multiply both sides by




The faster computer, working alone, takes 4 hrs
to run the program
------------------
check answer:





----------------




OK

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