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A company contracts to paint 3 houses. Mr.Brown can paint a
house in 6 days while Mr.Black would take 8 days and Mr.Blue
12 days. After 8 days Mr.Brown goes on vacation and Mr.
Black begins to work for a period of 6 days. How many days
will it take Mr.Blue to complete the contract?
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Answer Posted / s.a
11 days.Look at the rates at which each man paints a house.Mr Brown = 1/6 house per dayMr Black = 1/8 house per dayMr Blue = 1/12 house per dayMr Brown paints for 8 days -> he paints 8/6 houses = 4/3 housesMr Black paints for 6 days -> he paints 6/8 houses = 3/4 housesThere are 3 houses total, therefore there is 3 - 4/3 - 3/4 = 11/12 houses to paint.Mr Blue paints 1/12 house per day, therefore it takes him 11 days to finish the painting
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