Both X and Y together can complete a work in 12 days and Y alone can complete the same work in 30 days. In how many days will X alone complete the work?
1). 15
2). 20
3). 18
4). 16
X and Y together can complete a work = 12 days
Y alone can complete the same work = 30
Let X alone can complete the same work = x days
⇒ 1/x + 1/30 = 1/12
⇒ 1/x = 1/12 - 1/30
⇒ 1/x = (30 - 12)/(30 × 12)
∴ x = 20 days