SOLUTION: A farmer harvested 2400 ha of grain in 16 days using four machines. How long would it take to harvest 2400 ha if he used 6 machines?

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Question 1116571: A farmer harvested 2400 ha of grain in 16 days using four machines. How long would it take to harvest 2400 ha if he used 6 machines?
Found 2 solutions by ikleyn, greenestamps:
Answer by ikleyn(52914)   (Show Source): You can put this solution on YOUR website!
.
Solution  1.   Counting machine-days: 

4 * 16 = 6 * x     (the number of machine-days should be the same in both cases)  ====>


x =  =  =  days =  days.


Solution  2.   Counting rate of work for one machine per day: 

 =      (<<<---=== saying that the rate of work is the same in both cases)


It leads you to the same equation as in solution 1:


4 * 16 = 6 * x  


which gives you the same answer  


x =  =  =  days =  days.

Solved.


Answer by greenestamps(13215)   (Show Source): You can put this solution on YOUR website!


Solution 3, which I personally think is easiest and fastest:

The number of machines is 6/4 = 3/2 times as many, so the amount of time required is 2/3 as much:

or 10 2/3 days
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