The number of workers and the time required to finish a certain task are in ____ proportion.

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Detailed Solution

The number of workers and the time required to finish a certain task are in inverse proportion.
We know that two variables

x and y

are said to be inversely proportional if and only if they are directly proportional to one another's reciprocal. If

x and y

are two variables in inverse variations, then

x ∝ 1 y ⇒ x = k 1 y ⇒ x = k y,        where k is proportianality constant ⇒ x y = k .... (1)

If there are more workers, the job will take less time to finish, and if there are less workers, the job will take more time to finish.
Therefore, this is a case of an inverse proportion.
Hence, the number of workers and the time required to finish a certain task are in inverse proportion.

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