SOLUTION: Five men can mow a square field who's side is 60 ft in 4 hours. At the same rate of work, compute how many hours 10 men could plow a square field who's side is 180 in feet?

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Question 971747: Five men can mow a square field who's side is 60 ft in 4 hours. At the same rate of work, compute how many hours 10 men could plow a square field who's side is 180 in feet?
Answer by josgarithmetic(39616) About Me  (Show Source):
You can put this solution on YOUR website!
The rates are in units of square feet per hour.
Let r be the rate for 1 man.

RT=A for rate time area.

5r%2A4=60%5E2, the first sentence.

unknown number of hours t:
10r%2At=180%5E2, the question, second sentence.


This is a Uniform Rates problem, and does not involve any quadratic equation. The second equation, although contains a term of rt, is still not quadratic.

Be sure you study the discussion given and understand it. Once done, the first equation lets you solve for r, and then substitute for r in the second equation, and solve that one for t.