document.write( "Question 292349: If it takes 3 people 4 hours to clean a warehouse, how long will it take 4 people to clean the warehouse? \n" ); document.write( "

Algebra.Com's Answer #211178 by oberobic(2304) $\"\"$ $\"About$

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There is insufficient information to answer the question. I depends on how fast the fourth person can work. Perhaps he/she can work twice as fast as the others? Or only half as fast?
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\n" ); document.write( "If we make the BIG assumption that everyone works at the same speed, and no one can go faster or slower than another, then we can solve the problem. But that is a BIG assumption.
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\n" ); document.write( "If 3 people can do the work in 4 hours, then logically 4 people working at the same speed can do the job in 3 hours.
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\n" ); document.write( "Looking at any work problem, you have to think about the sum of their labors = 1 job done to completion.
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\n" ); document.write( "If it takes 4 hr, then 1/4 of the work is done per hr.
\n" ); document.write( "If there are 3 people, then each is doing 1/12 of the work per hr.
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\n" ); document.write( "With 4 people, their aggregate work = 4*1/12 = 1/3 per hr.
\n" ); document.write( "So it takes them 3 hr.
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\n" ); document.write( "Done. \n" ); document.write( "

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