# Excavation

Mr. Billy calculated that excavation for a water connection digs for 12 days. His friend would take 10 days. Billy worked 3 days alone. Then his friend came to help and started on the other end.

On what day since the beginning of the excavation they met?

Correct result:

n =  8

#### Solution:

3 / 12 +(n-3)/12 + (n-3)/10 = 1

11n = 78

n = 78/11 ≈ 7.090909

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