It took 66 hours of analysis to complete the first phase,but the second phase was done in 61 hours.If this learning rate continues,then the 8ᵗʰ analysis should take a mere:
A)52 hours and 11 minutes,give or take.
B)53 hours and 22 minutes,give or take.
C)54 hours and 33 minutes,give or take.
D)55 hours and 44 minutes,give or take.

Question

Quizplus · Accepted Answer

To find the learning rate, we need to find the difference between the time taken in the first and second phases, which is:

learning rate = (time taken in first phase - time taken in second phase) / time taken in first phase
             = (66 - 61) / 66
             = 0.07576

This means that the time taken for each subsequent analysis decreases by 7.576%. Using this learning rate, we can find the time taken for the 8th analysis as follows:

time taken for 8th analysis = time taken for 7th analysis * (1 - learning rate)
                            = 61 * (1 - 0.07576)
                            = 56.1736 hours
                            ≈ 54 hours and 33 minutes

Therefore, the best choice is C) 54 hours and 33 minutes, give or take.

It Took 66 Hours of Analysis to Complete the First