Question 1128765: Please include the following in your work on each word problem:
a) A statement defining any unknown quantities in the problem in terms of variables. b) An equation involving the variable(s) corresponding to the information given in the problem. c) A complete solution to the equation, showing all work. d) A complete sentence that answers the question asked, including appropriate units.
The time required to do a job varies inversely as the number of people working. It takes 7 hours for 10 bricklayers to build a park well. How long will it take 14 bricklayers to complete the job? Round to the nearest tenth if needed.
Answer by rothauserc(4718)   (Show Source):
You can put this solution on YOUR website! 7 = k/10
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k = 70
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k is the constant of proportionality
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x = 70/n, where n is the number of workers and x is amount of time for the n workers to complete the job
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x = 70/14 = 5
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it takes 5 hours for 14 bricklayers to complete the job
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alternate approach
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the job takes 7 * 10 = 70 man hours to complete
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we have 14 workers, therefore
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70/14 = 5 hours for the 14 workers to complete the job
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