A company contracts to paint 3 houses. Mr. Brown can paint a house in 6 days while Black would take 8 days and Blue 12 days. After 8 days Brown goes on vacation and Black begins to work for a period of 6 days. How many days will it take Blue to complete the contract?

Question

Johnathan Randall

Mathematics

13 November, 11:16

A company contracts to paint 3 houses. Mr. Brown can paint a house in 6 days while Black would take 8 days and Blue 12 days. After 8 days Brown goes on vacation and Black begins to work for a period of 6 days. How many days will it take Blue to complete the contract?

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Answers (1)

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Pepsi · Answer 1

You can start with the equation of

(1/6) x8 + (1/8) x6 + (1/12) x X=3

Multiply by common denominator of 24 to get

32+18+2x=72

Simplify it we get

50+2x=72

Eliminate using algebra (because it's add 50 take away the 50 on both sides)

2x=22

Because it's X2 divide by 2 on both sides

x=11

It will take 11 days