X alone can do a work in 300 hours. Y alone can do the same work in 450 hours. X, Y and Z together can do the same work in 90 hours. In how many hours can Z alone do the work?
1). 150
2). 180
3). 220
4). 200
X alone can do a work = 300 hours
X’s one-hour work = 1/300
Y alone can do the work = 450 hours
Tap B’s one- hour work = 1/450
X, Y and Z together can do the work = 90 hours
(X + Y + Z)’s one-hour work = 1/90
Z alone can do the work in,
Z = (1/90 - 1/300 - 1/450) = (10 - 3 - 2)/900 = 5/900 = 1/180
Hence, Z can complete the whole work in 180 days.