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
? *
If 12 workers can build a wall in 50 hours , how many workers will be required to do the same work in 40 hours ? *
Posted by Kunal Tandan 2 years, 2 months ago
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 |