Word Problems/Proportions


6 men can build a wall 96 feet long in 18 days when the day is 11 hours long; how many men must be employed to build 64 feet of wall in 2 days when the day is 12 hours long?

Answer: 33 men

Which units from the above are inversely proportional and which units are directly proportional and why?

I thank you for your reply.

Here's how to work the problem:

Man-hours varies directly with the length of the wall.

Number of days varies inversely with number of men.
Number of days varies inversely with hours in a day.
By extension, number of days varies inversely with man-hours.

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Janet Yang


Word problems are my favorite type of math questions! I would not feel comfortable answering questions that require specialized knowledge (Physics, Statistics, etc.) because I have not studied these in depth.


I tutor students (fifth through twelfth grades) and am a Top Contributor on Yahoo!Answers with over 24,000 math solutions.

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I have a Bachelor's degree in Applied Mathematics from the University of California at Berkeley, and a Master of Business Administration degree from The Wharton School.

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