To determine how many minutes it will take for a computer with two CPUs, each performing an average of [tex]\(5.0 \times 10^8\)[/tex] calculations per second, to complete [tex]\(6.0 \times 10^{17}\)[/tex] calculations, we will go through the following steps:
1. Calculate the total computational power of both CPUs combined:
Each CPU can perform [tex]\(5.0 \times 10^8\)[/tex] calculations per second. With two CPUs, the total computational power is:
[tex]\[
2 \times 5.0 \times 10^8 = 1.0 \times 10^9 \text{ calculations per second}
\][/tex]
2. Determine the total time required to complete [tex]\(6.0 \times 10^{17}\)[/tex] calculations:
To find the total time in seconds, we need to divide the total calculations by the total computational power:
[tex]\[
\frac{6.0 \times 10^{17} \text{ calculations}}{1.0 \times 10^9 \text{ calculations per second}} = 6.0 \times 10^8 \text{ seconds}
\][/tex]
3. Convert the time from seconds to minutes:
There are 60 seconds in a minute. To convert the time from seconds to minutes, we divide by 60:
[tex]\[
\frac{6.0 \times 10^8 \text{ seconds}}{60} = 1.0 \times 10^7 \text{ minutes}
\][/tex]
Therefore, the computer will take [tex]\(1.0 \times 10^7\)[/tex] minutes to complete [tex]\(6.0 \times 10^{17}\)[/tex] calculations. This matches the option [tex]\(E\)[/tex].
So, the answer is:
[tex]\[ \boxed{1.0 \times 10^7} \][/tex]
