Question

If workers can build a trench in hours, how many workers will be required to do the same work in hours?

Hard

Solution

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The statement " varies inversely as means that when increases, decreases by the same factor. In other words, the expression is constant:

  

where is the constant of variation.

Let the number of workers be and the time taken be .

Here, it is given that there are workers who build a trench in hrs. therefore,

  

Thus, the general equation is .

Since hrs, therefore,



Hence, workers will be required to do the same work in hours.

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