⟩ A contractor agreeing to finish a work in 150 days, employed 75 men each working 8 hours daily. After 90 days, only 2/7 of the work was completed. Increasing the number of men by ________ each working now for 10 hours daily, the work can be completed in time?
150 men.Explanation:One day?s work = 2 / (7 * 90)One hour?s work = 2 / (7 * 90 * 8)One man?s work = 2 / (7 * 90 * 8 * 75)The remaining work (5/7) has to be completed within 60 days, because thetotal number of days allotted for the project is 150 days.So we get the equation(2 * 10 * x * 60) / (7 * 90 * 8 * 75) = 5/7 where x is the number of menworking after the 90th day.We get x = 225Since we have 75 men already, it is enough to add only 150 men..
90*75*8 = 2/7(work)
now 5/7 th of work left..
so 60*(75+x)*10 =5/7(work)
x=no of workers..
devide the two equations..
x=150
