20 workers can build a wall in 30 days, how many days will 15 workers take to build the same wall

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.

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