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

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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

adding we get

subtract 50 to get

divide by 2 to get

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nik

  • Jun 13th, 2015
 

c. 11

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ashutosh

  • Jul 22nd, 2015
 

D. 12

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Deepika Jain

  • Jan 31st, 2018
 

11

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