Correct Answer - Option 4 :

\(S=\frac{KN}{K+N-1}\)
**Data:**

number of instructions = N

number of stage (segment) = K

**Non-pipeline**

Assume each stage take 1 unit of time

Time taken (Twp) = number of stage × number of instructions

Twp = K.N

**For pipeline**

Only 1^{st} instruction takes K unit time then every (N - 1) instruction takes 1 unit time

Time taken(Tp) = (K + N - 1)

\(S = \frac{T_{wp}}{T_{p}} = \frac{KN}{K+N-1}\)

Therefore option 4 is correct