document.write( "Question 532457: A group of 18 people can paint a house in 21 days. If the house needs to be painted in 14 days, how many more people are required? I figured out the rate of people per day, but then I get 12 or 16 people needed. That doesn't make sense because you need more people to get the job done faster. Help, please? \n" ); document.write( "

Algebra.Com's Answer #350996 by lwsshak3(11628) $\"\"$ $\"About$

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A group of 18 people can paint a house in 21 days. If the house needs to be painted in 14 days, how many more people are required? I figured out the rate of people per day, but then I get 12 or 16 people needed. That doesn't make sense because you need more people to get the job done faster.
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\n" ); document.write( "Think in terms of man-days required to paint the house.
\n" ); document.write( "18 people painting the house for 21 days=21*18=378 man-days
\n" ); document.write( "If you need to paint the same house in 14 days, it would still require 378 man-days.
\n" ); document.write( "So you need more men like 378/14=27 men
\n" ); document.write( "27 men * 14 days =378 man-days
\n" ); document.write( "ans:
\n" ); document.write( "13 more people are required to paint the house in 14 days. \n" ); document.write( "

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