SOLUTION: If 8 workers can plough a 6 hectare field in 5 hours, how long will it take to plough a 9 hectare field with 5 workers?

Question 1111794: If 8 workers can plough a 6 hectare field in 5 hours, how long will it take to plough a 9 hectare field with 5 workers?
Answer by ikleyn(52776) (Show Source): You can put this solution on YOUR website!
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The SIMPLEST and the MOST RELIABLE way to solve this problem is THIS:


In the first scenario,  the rate of work of one worker in one hour is equal to    .


Let x be how long will it take to plough the 9 hectare field with 5 workers, in hours.


In the second scenario,  the rate of work of one worker in one hour is equal to    .



The rate is (assumed) the same, which gives you an equation (proportion)

 = .


Simplify by canceling common factors (which is "5" in this case):

 = .


Now solve for x, as you solve any proportion

x =  =  = 12.


Answer.  12 hours.

By doing in this way, you will NEVER make a mistake.

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To see other solved similar problem by the same method, look into the lesson
- Rate of work problems
in this site.

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