Question

If 24 workers can paint a wall in 45 hours how many workers are required to do the same work in 20 hours

Answer 1

Given:

• Total number of workers = 24
• Total number of hours required to paint a wall = 45 hours

To Find:

• The total number of workers required to finish the same work in 20 hours.

Solution:

Let the number of workers be 'x'.

If 24 workers can paint a wall in 45 hours, then we have

⇒ 24×45 = 1080

If the same work has to be completed in 20 hours then we get an inverse variation,

⇒ 24 × 45 = 20 × x

⇒ 1080 = 20x

⇒ x = 1080/20

⇒ x = 54

∴ 54 workers are required to complete the same work in 20 hours.