If P can complete a work in 30 days, Q cando the same work in 36 days,

1.	If P can complete a work in 30 days, Q cando the same work in 36 days, If they worktogether and after 5 days, P leaves the work.Find in how many days Q will do the remainingwork?
Answer» Amount of work P can do in 1 day = 1/30 Amount of work Q can do in 1 day = 1/36 Amount of work P and Q can do in 1 day = 1/30 + 1/36 = 11/180 Amount of work P and Q can together do in 5 days = 5 × (11/180) = 11/36 Fraction of work left = 1 – 11/36 = 25/36 Therefore Q finish remaining work (25/36) in 25 days

If P can complete a work in 30 days, Q cando the same work in 36 days, If they worktogether and after 5 days, P leaves the work.Find in how many days Q will do the remainingwork?

Answer»

Amount of work P can do in 1 day = 1/30

Amount of work Q can do in 1 day = 1/36

Amount of work P and Q can do in 1 day = 1/30 + 1/36 = 11/180

Amount of work P and Q can together do in 5 days = 5 × (11/180) = 11/36

Fraction of work left = 1 – 11/36 = 25/36

Therefore Q finish remaining work (25/36) in 25 days