Two inlet pipe A and 8 whose flow rate are 5 liter/m and 3 liter / min are fitted in to it. The tank is connected to an outlet pipe C whose flow rate at Nth minute define as F=1/2N .If all three Pipe open together find out the max amount of water the tank filled by this arrangement. options are (A) 40% (B) 50% (C) 60% (D) 70%
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Answer:
A) 40% is the correct answer.
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The correct answer is option C) i.e the max amount of water filled in the tank is 60%.
The two inlet pipes A and B have rate of flow 5 l/m and 3 l/m respectively at any nth minute. The outlet pipe has a flow of N/2 where N is the Nth minute.
N = 1 , total flow = 5+3-1/2 = 15/2
N = 2, total flow = 5+3-1 = 7
N = 3 , total flow = 5+3-3/2 = 13/2
and so on till N = 15 , total flow = 8-15/2 = 1/2
The amount of water in the tank = 15/2 + 7 + 13/2 + 6 + 11/2 ------- +1/2
= 15/2(15-7)
= 15/2 × 8
= 60
The Percentage of tank which can be filled = 60%
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