Answer:
The correct answer is option (a) 38 hours and 16 minutes, give or take.
Explanation:
Solution
Given that:
Learning Rate is refers to every time the number of units ( the number of first phase) doubles, the time taken for the doubled unit (that is the second phase) is equal to time taken to complete initial unit (i.e. first phase) multiplied by learning rate.
Now
The Improvement Rate (%) = 100 - Learning rate (%)
In this case, the improvement rate is = 4.55%
Thus,
Learning Rate is give n below:
= 100 - 4.55% = 95.45%
The time taken for the first phase is = 44 hours
The time taken for the second phase = 44 * 0.9545 = 42 hours
The time taken for the fourth phase = 42 * 0.9545 = 40.09 hours
Time taken for the eighth analysis is unit = 40.09 * 0.9545 = 38.26 hours
Hence the 8th analysis should take a mere 38 hours and 16 minutes
