L alone can do a work in 100 hours. M alone can do the same in 150 hours. L, M and N together can do the same work in 30 hours. In how many hours can N alone do the work?
1). 65
2). 60
3). 40
4). 90
Given,
L’s 1 hour’s work = 1/100
M’s 1 hour’s work = 1/150
Let N can complete work in n days.
N’s 1 hour’s work = 1/n
Given,
(L + M + N)’s 1 hour’s work = 1/30
⇒ 1/30 = (1/100) + (1/150) + (1/n)
⇒ 1/30 = 1/60 + 1/n
⇒ 1/n = 1/30 - 1/60
⇒ 1/n = 1/60
∴ N can complete work in 60 days.