Problem with finding more

Question

I am sorrow if this question sounds silly but I really need help on this.

Question:

It takes 4 reps to complete 32 transactions. Each transaction takes 3 minutes each (180 seconds).

How many reps will it take to process these 32 transactions within 0.30 seconds?

Answer 1

So 4 reps need $$32*180=5760$$ seconds for 32 transactions.

Now then 8 reps would need

$$\frac{5760}{2}=2880$$ seconds.

Now solve $$\frac{5760}{2^x}=0.3$$

which gives you $$x=14,22882$$

You need approximately $$4*2^{14.22882}=76800,06971$$ reps to complete it in 0.30 seconds. I hope this is the correct answer.