Question

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

Answer 1

Answer:

15x = 42

x = 42/15

x = 2.8

1 worker take 2.8 hr

10 workers take 30 hr

Answer 2

21 workers

Note: The question is based on the topic inverse proportions.

Given:

     15 workers can finish a task in 42 hours.

To find: No.of workers needed to  complete the task in 30 hours.

Let x be the no.of workers needed to complete the task in 30 hours.

Then,

15 workers -- 42 hours

x workers -- 30 hours

By inverse proportions,

15×42 = x × 30

630 = x × 30

x = 630/30

x = 21

No.of workers needed to complete the task in 30 hours = 21 workers

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