X and Y can do job in 25 days and 30 days respectively. They work together for 5 days and then X leaves. Y will finish the rest of the work in how many days?  Choose the correct choice from the following answers: A) 18 days B) 19 days C) 20 days D) 21 days E) None of these
X’s one day’s work = 1.25 th part of whole work.   Y’s one day’s work = 1⁄30 th part of whole work.   Their one day’s work = 1⁄25 + 1⁄30 = 1⁄150 th part of whole work.   Now, work is done in 5 days = 11⁄150 × 5 = 11⁄30 th of whole work   ∴ Remaining work = 1 - 11⁄30 = 19⁄30 th of whole work   Now, 1⁄30 th work is done by Y in one day.   ∴ 19⁄30 th work is done by Y in 1 /1/30×19/30 = 19 days.   Answer 19 days
<result>B</result>
X and Y can do job in 25 days and 30 days respectively. They work together for 5 days and then X leaves. Y will finish the rest of the work in how many days?