X can complete a piece of work in 30 h and
Y can complete it in 24 h. In how many
hours will it be completed if they work
together?
X can complete a piece of work in 30 h and
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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