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Forums › Ask ACCA Tutor Forums › Ask the Tutor ACCA PM Exams › Learning rate
Can some one tell me how they got the answer for the question below:
The times taken to produce each of the first four batches of a new product were as follows:
Batch 1 = 100 minutes
Batch 2 = 70 minutes
Batch 3 = 59 minutes
Batch 4 = 55 minutes
What was the rate of learning closest to?
The answer at the back is 84.3%. According to my answer i’m getting 85%……..
Can you please explain how they got 84.3%?
The average time per batch if we make 4 is (100+70+59+55)/4 = 71 minutes
If the learning rate is r,
then the average time per batch for 2 batches is 100 x r
The average time per batch for 4 batches is 100 x r^2
(using the doubling rule).
Therefore 100 x r^2 = 71
r^2 = 0.71
r = 0.843 (or 84.3%)