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Yuliya22 [10]
2 years ago
8

Parallel Processing uses two or more computers, working together, to solving a problem. You connect two different computers; com

puter 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
Mathematics
1 answer:
MrRissso [65]2 years ago
8 0

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:

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Step-by-step explanation: First, the exponents in the prime factorization are 2, 1, and 1. Then adding one to each and multiplying we get (2 + 1)(1 + 1)(1 + 1) = 3 x 2 x 2 = 12. Finally, 315 has exactly 12 factors.

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Given:

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|  \
|     \ 
| 16  \
|         \
|______\
 12

Envision this as a right triangle, with one leg of 12 miles, and the other 16 miles. Solve using the Pythagorean Theorem a²+b²=c²:

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