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# If 15 workers can finish a task in 42 hours, calculate the number of workers required to complete the same task in 30 hours.

Harshit Singh
askIITians Faculty 5964 Points
one year ago
Dear Student

In this situation, the number of workers varies indirectly with the time required to finish a task.

Thus, they are inversely proportional.

Now, assume that the number of workers required to complete the task in 30 hours be “x”.

Here, the number of workers ∝ 1/hours

Or,

Number of workers = C/hours (here “C” is the constant of proportionality)

Now, consider the first case: “15 workers can finish a task in 42 hours”

Here, 15 = C/42

=> C = 15 × 42 = 630.

Now, consider the second case: “x workers can finish a task in 30 hours”

Here, x = C/30

x = 630/30
x = 21

the number of 21 workers are required to complete the task in 30 hours.

Thanks