X can complete a piece of work in 30 h andY can complete it in 24 h. In how manyhours will it be completed if they worktogether? About the author Mary

x can complete a work in 30hr x’s work per hour = 1/30 Y completes a work in 24hr So work done in one hour= 1/24 Now, work done by both in 1 hour 1/30 +1/24 = 4 + 5 120 = 9/120 = 3/40 Let z be the time taken to complete the work therefore, 3/40 × z= 1 3z= 40 z= 40/3 = 13.33 hr Reply

xcancompleteaworkin30hrx’sworkperhour=1/30Ycompletesaworkin24hrSoworkdoneinonehour=1/24Now,workdonebybothin1hour1/30+1/24=4+5120=9/120=3/40Letzbethetimetakentocompletetheworktherefore,3/40×z=13z=40z=40/3=13.33hr