Question

Parallel Processing uses two or more computers, working together, to solving a problem. You connect two different computers; computer A is faster than computer B due to being a more modern machine. When both computers are working together it takes 20 minutes for them to work put a single problem. Individually it would take computer B 9 more minutes than computer A to solve the same problem on its own. Solve for how many minutes it would take computer A to solve a single problem on it own

Answer 1

Answer:

together rate = 1/20 min/job

one comp. rate = 1/(x-9) min/job

2nd comp. rate = 1/x min/job

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

Equation:

rate + rate = together rate

1/x + 1/(x-9) = 1/20

---

20(x-9) + 20x = x(x-9)

40x-9*20 = x^2-9x

---

x^2-49x + 180 = 0

Factor:

(x-45)(x-4) = 0

Realistic solution since 4-9 is negative:

x = 45 minutes

then

x-9 = 36 minutes (faster computer time to do the job)

Step-by-step explanation: