CAT 1994QA Question 15

Pipes & CisternsEasy
Passage / Data

Answer the next 2 questions based on the following information:

If
md(x) = x ,
mn(x,y) = minimum of x and y and
Ma(a,b,c,...) = maximum of a,b,c…

A water tank has three taps A, B, and C. A fills four buckets in 24 minutes, B fills 8 buckets in 1 hour and C 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?

Answer & solution

  • A

    120 litres

  • 240 litres

  • C

    180 litres

  • D

    60 litres

Solution

Since a bucket holds 5 litres of water, water discharged in one minute by tap A, B and C is 56 litres, 23 litres and 12 litres respectively.

If A, B and C are all opened simultaneously, total discharge in one minute = (56+23+12) = 2 litres.

So in 2 hours, the discharge would be 240 litres, that is the capacity of the tank.

CAT 1994 QA Q15: A water tank has three taps A, B, and C. A fills four buckets in 24 minutes, B fills 8 buckets in 1 hour and C — Solution | TheCATExam