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
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