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?

  1. 100 liters
  2. 180 liters
  3. 240 liters
  4. None of these

Answers and Explanations

Answer: (c)

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.