A multistorey apartment has four water tanks (P, Q, R, and S), each containing 1000 liters of water.
The water is being pumped from one tank to another as follows:
From P to Q@ 20 litres/minute
From R to P @ 90 litres/minute
From P to S @ 10 litres/minute
From R to S @ 50 litres/minute
From Q to R@ 100 litres/minute
From S to Q @ 110 litres/minute
Which tank gets emptied first, and how long does it take (in minutes) to get empty after pumping
Starts?
Answers
Given : A multistorey apartment has four water tanks (P, Q, R, and S), each containing 1000 liters of water.
The water is being pumped from one tank to another as follows:
From P to Q@ 20 litres/minute
From R to P @ 90 litres/minute
From P to S @ 10 litres/minute
From R to S @ 50 litres/minute
From Q to R@ 100 litres/minute
From S to Q @ 110 litres/minute
To Find : Which tank gets emptied first, and how long does it take (in minutes) to get empty after pumping Starts
Solution:
From P to Q@ 20 litres/minute
From P to S @ 10 litres/minute
P drains = 20 + 10= 30 litres/minute
From R to P @ 90 litres/minute
=> Net P fills with 90 - 30 = 60 litres/minute
From P to Q@ 20 litres/minute
From S to Q @ 110 litres/minute
Q fills with 20 + 110 = 130 litres/minute
From Q to R@ 100 litres/minute
Q drain at 100 litres/minute
Net Q fills with 130 - 100 = 30 litres/minute
From R to P @ 90 litres/minute
From R to S @ 50 litres/minute
R drains at 90 + 50 = 140 litres/minute
From Q to R@ 100 litres/minute
R fills at 100 litres/minute
Net R Drains at 140 - 100 = 40 litres/minute
From P to S @ 10 litres/minute
From R to S @ 50 litres/minute
S fills at 10 + 50 = 60 litres/minute
From S to Q @ 110 litres/minute
S drains at 110 litres/minute
Net S Drains at 110 - 60 = 50 litres/minute
Hence S drains at fastest speed 50 litres per minute
S will empty first
and in 1000/50 =20 mins
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