Wordpandit Question of the day
A water tank has three taps X, Y, and Z. X fills four buckets in 24 mins, Y fills 8 buckets in 1 hour and Z fills 2 buckets in 20 minutes. If all the taps are opened together a full tank is emptied in 2 hours. If a bucket can hold 5 litres of water, what is the capacity of the tank?
- 100 liters
- 180 liters
- 240 liters
- None of these
Answers and Explanations
Since a bucket holds 5 litres of water, tap X discharges 20 litres of water in 24 min or 5/6 litres of water in 1 minute.
Tap Y discharges 40 litres in 1 hours or 2/3 litres in 1 minute.
Tap Z discharges 10 litres in 20 min. or ½ litres in 1 minute.
If X, Y&Z are all opened simultaneously, total discharge = (5/6 + 2/3 + ½) = 2 litres in 1 minute.
So in 2 hours, the discharge would be 240 litres, which should be the capacity of the tank.