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A company contracts to paint 3 houses. Mr.Orange can paint a house in 6 days while Mr.Grey would take 8 days
and Mr.Red 12 days. After 8 days Mr.Orange goes on vacation and Mr.Grey begins to work for a period of 6 days.
How many days will it take Mr.Red to complete the contract?
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The whole job is to paint 3 houses.
Mr. Orange' rate of work is 
of the house per day.
Working 8 days, Mr Orange painted 
= 
houses, and 3 - = 
houses remained
to paint.
Mr. Gray' rate of work is 
of the house per day.
Working 6 days, Mr. Gray painted 
= 
of a house, and
- = 
- 
= 
of a house remained to paint.
Mr. Red' rate of work is 
of the house per day.
Hence, he needs
= 11 days to complete the contract.
ANSWER. Mr. Red needs 11 days to complete the job.
Solved.
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