Can build a wall in 50 hours how many workers will be required to do the same work in 40 hours?

The number of hours required to build a wall is inversely proportional to the number of workers employed.Let the number of hours be h and the number of workers be w.

Here, h varies inversely as w i.e. \[h \propto \frac{1}{w}\].

∴ \[h = \frac{k}{w}\] , where is k is constant of variation⇒ h × w = kWhen h = 48, w = 15.∴ k = 48 × 15 = 720So, the equation of variation is hw = 720.When h = 30,30w = 720

⇒ w = \[\frac{720}{30}\] = 24

Thus, the number of workers required to do the same work in 30 hours is 24.

If workers can build a wall in , how many workers will be required to do the same work in ? *
A.
B.
C.
D.

If 12 workers can build a wall in 50 hours , how many workers will be required to do the same work in 40 hours ? *

workers. hours

12. 50

x. 40

12 × 50 = x × 40

40 is go to another side it's change into division

12 × 50 ÷ 40 = x

600 ÷ 40 = x

15 = x