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?
Correct answer: D
Explanation
let x is amount of work to be done to paint one house.
So Brown's one day work is x/6, black's can do x/8 work in
one day and blue is x/12.
Total houses is 3, so tatal work to be done is 3x.
3x= 8*(x/6) + 6*(x/8) + y*(x/12)
finally y = 11.
blue will complete the remaining work in 11 days.
D
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AQuA-RAT items are crowdsourced algebra problems, not ACT questions. They carry five answer choices in the pre-2025 ACT Mathematics style and no ACT reporting category. Useful for drilling Preparing for Higher Math content; not a substitute for a real form.