Question
(y+40) boys can do a piece of work in (z-20) days. (y-5)
boys can do the same piece of work in (z+20) days. If (y+30) boys can do the same piece of work in (z-12) days, then find out the value of ‘y’.Solution
(y+40) boys can do a piece of work in (z-20) days. Total work = (y+40)x(z-20)  Eq.(i) (y-5) boys can do the same piece of work in (z+20) days. Total work = (y-5)x(z+20)  Eq.(ii) If (y+30) boys can do the same piece of work in (z-12) days. Total work = (y+30)x(z-12)  Eq.(iii) So Eq.(i) = Eq.(ii) (y+40)x(z-20) = (y-5)x(z+20) yz-20y+40z-800 = yz+20y-5z-100 -20y+40z-800 = 20y-5z-100 20y+20y-40z-5z+800-100 = 0 40y-45z+700 = 0 40y-45z = -700 8y-9z = -140 Eq.(1) So Eq.(i) = Eq.(iii) (y+40)x(z-20) = (y+30)x(z-12) yz-20y+40z-800 = yz-12y+30z-360 -20y+12y+40z-30z-800+360 = 0 -8y+10z-440 = 0 -8y+10z = 440 Eq.(2) Add Eq.(1) and Eq.(2). 8y-9z-8y+10z = -140+440 z = 300 Put the value of ‘z’ in Eq.(1). 8y-9x300 = -140 8y-2700 = -140 8y = 2700-140 8y = 2560 Value of ‘y’ = 320
Exercise Samudra Laksamana aims to enhance maritime cooperation between which two countries?
When was the Lucknow Metro Rail Corporation Limited was formed?
At what yearly interest rate does the 'e-Kisan Upaj Nidhi' platform permit farmers to store their produce at any registered WDRA warehouse for up to six...
Swarnim Chaturbhuj Yojana is associated with which Indian state?
Who was the founder of the Arya Samaj?
Which of the following expressways connects National Capital Region (NCR) with Western Uttar Pradesh?
Who inaugurated the "Digital India FutureLABS" and delivered the keynote address at the 'Digital India FutureLABS Summit 2024'?
In which movement did women bestow Vallabhbhai Patel the title 'Sardar'?
Which of the following places was ruled by the Wadiyar dynasty?
Who founded the Slave Dynasty in Delhi Sultanate?