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Bunuel
On Monday, Janice started training for a marathon and ran one mile that day. On Tuesday, Janice ran one mile more than she did on Monday. She continues this training process for 12 days. The sum of the total number of miles Janice ran has how many distinct prime factors?

A. 2
B. 3
C. 4
D. 5
E. 6

Since we have an evenly spaced set, we can multiply the quantity and average to get the sum.

The first day = 1 and the 12th day = 12. Thus:

(1 + 12)/2 x 12 = 13 x 6 = 78

78 = 39 x 2 = 13 x 3 x 2

Thus, the sum has 3 distinct prime factors.

Answer: B
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