Question

It took 44 hours of analysis to complete the first phase, but the second phase was done in 42 hours. If this learning rate continues, then the 8th analysis should take a mere:_____.
a. 38 hours and 16 minutes, give or take.
b. 36 hours and 26 minutes, give or take.
c. 39 hours and 6 minutes, give or take.
d. 37 hours and 36 minutes, give or take.

Answer 1

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