AMC 10A 2012 Problem 19

Paula the painter and her two helpers each paint at constant, but different, rates. They always start at 8:00 AM, and all three always take the same amount of time to eat lunch. On Monday the three of them painted 50 \% of a house, quitting at 4:00 PM. On Tuesday, when Paula wasn’t there, the two helpers painted only 24 \% of the house and quit at 2:12 PM. On Wednesday Paula worked by herself and finished the house by working until 7:12 PM. How long, in minutes, was each day’s lunch break?

Answer Choices
A. 30
B. 36
C. 42
D. 48
E. 60