U, V and W together can make a chair in 20 minutes. U and V together can make it in 25 minutes. How much time will (in minutes) W alone take to make the chair?
Time taken by U, V and W together to make a chair = 20 min
Time taken by U and V together to make a chair = 25 min
Let total work = LCM of 20 and 25 = 100 units
Efficiency of U, V and W together = 100/20 = 5 units/min
Efficiency of U and V together = 100/25 = 4 units/min
Efficiency of W = 5 – 4 = 1 unit/min
∴ Time taken by W to make a chair alone = 100 × 1 = 100 min