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2012 AMC 10A Question 19

AMC10 · 2012 AMC 10A

Question 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 $7:12$ P.M.

How long, in minutes, was each day’s lunch break?
  1. $30$
  2. $36$
  3. $42$
  4. $48$
  5. $60$