# 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?A. 7B. 8C. 11D. 12

C

#### Scott McGillivray

• Jul 30th, 2006

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

#### DEEPA THOMAS

• Nov 15th, 2012

we have a working together problem. Here is an equation to start us out:

step 1 - multiply by common denominator of 24 to get

subtract 50 to get

divide by 2 to get

#### nik

• Jun 13th, 2015

c. 11

#### ashutosh

• Jul 22nd, 2015

D. 12

#### Deepika Jain

• Jan 31st, 2018

11