Problema Solution

Parallel processing is the simultaneous use of more than one computer to run a program. Suppose one computer, working alone, takes 4 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 2 h before completing the program. How long would it take the faster computer, working alone, to run the program?

Answer provided by our tutors

Let

x = the hours that the second computer needs to run a program alone, x>=0

x + 4 = the hours the first computer needs to run a program alone (the first computer is slower since x + 4 > x)

The rate of the second computer is: 1/x program per hour

The rate of the first computer is: 1/(x + 4) program per hour

Now we can write the following equation:

1/x + 1/(x + 4) + 2*(1/(x + 4)) = 1

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click here to see the equation solved for x

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x = 2 hr (We need to ignore the negative solution -2 because the time can only be positive.)

The faster computer needs 2 hours to run the program when working alone.