Question

a computer diagnostic program has completed 2/3 of its analysis if the analysis 1 second complete 1/6 of the analysis in how many seconds will the program finish

Answer 1

To determine how many seconds it will take for the diagnostic program to finish, we can set up the problem based on the information provided:

1. **Current Progress**: The program has completed \( \frac{2}{3} \) of its analysis.
2. **Completion Rate**: It takes 1 second to complete \( \frac{1}{6} \) of the analysis.

First, let's find out how much analysis is left:

\[
\text{Remaining analysis} = 1 - \frac{2}{3} = \frac{1}{3}
\]

Now we need to determine how much time it takes to complete the remaining \( \frac{1}{3} \) of the analysis based on the given completion rate.

Since 1 second completes \( \frac{1}{6} \) of the analysis, we can find out how long it takes to complete \( \frac{1}{3} \):

1. Find out how many \( \frac{1}{6} \) segments are in \( \frac{1}{3} \):

\[
\frac{1}{3} \div \frac{1}{6} = \frac{1}{3} \times \frac{6}{1} = 2
\]

This means that \( \frac{1}{3} \) of the analysis is equivalent to 2 segments of \( \frac{1}{6} \).

2. Since it takes 1 second to complete \( \frac{1}{6} \), it would take:

\[
2 \, \text{segments} \times 1 \, \text{second/segment} = 2 \, \text{seconds}
\]

Therefore, the program will finish the remaining analysis in **2 seconds**.

### Summary
The total time for the program to finish is **2 seconds** from the current point.