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.