a computer diagnostic program has completed 2/3 of it's analysis. if the analysis requires 1 second to complete 1/6 of the analysis, in how many seconds will the program finish?

The computer will finish in 2 seconds

2/3 = 4/6

1 = 6/6

6/6 - 4/6 = 2/6

Answer: It needs 2 seconds.

Step-by-step explanation:

The data we have is:

The diagnostic program has completed 2/3 of the analysis, this means that we have a:

1 - 2/3 = 1/3 left.

we know that in 1 second we can complete 1/6 of the analysis, so in t seconds we will complete a:

y = (1/6) * t of the analysis.

if we need to complete 1/3, we replace it in the previous equation and find the value of t.

y = 1/3 = (1/6) * t

t = 6 * (1/3) = 6/3 = 2

then we need 2 seconds to complete the analysis.