Bunuel wrote:
A young and energetic cobbler fixes 3650 pairs of shoes every year, while an old yet experienced cobbler fixes 20% less than the young cobbler. In a shoe factory there are two old and one young cobblers working together. How many shoes can the factory fix every day assuming that there are 365 days a year?
A. 26.
B. 34.
C. 36.
D. 44.
E. 48
The rate of the older cobbler is 0.8 x 3650 = 2,920 pairs of shoes per year.
So the combined daily rate of one young and two old cobblers is:
(2,920 x 2 + 3650)/365 = 9490/365 = 26 pairs of shoes/day.
Alternate Solution:
The daily rate of the young cobbler is 3650/365 = 10 pairs. Thus, the daily rate of an old cobbler is 0.8 x 10 = 8 pairs. So the combined daily rate of one young and two old cobblers is 10 + 2 x 8 = 26 pairs of shoes.
Answer: A
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