There are four water tanks A, B, C and D. Water flows from one tank to another through different taps as follows:Tap 1: from A to B @ 25 litres/minuteTap 2: from B to C @ 30 litres/minuteTap 3: from C to D @ 20 litres/minuteTap 4: from D to A @ 22 litres/minuteTap1 is opened and then closed after 15 minutes. This process is followed for each tap. After each tap is used once, it is found that only one tank is fully filled. Which is this tank?(Assume each tank has enough water to flow through its outlet for 15 minutes)DCannot be determined.A or BC
Question
There are four water tanks A, B, C and D. Water flows from one tank to another through different taps as follows:Tap 1: from A to B @ 25 litres/minuteTap 2: from B to C @ 30 litres/minuteTap 3: from C to D @ 20 litres/minuteTap 4: from D to A @ 22 litres/minuteTap1 is opened and then closed after 15 minutes. This process is followed for each tap. After each tap is used once, it is found that only one tank is fully filled. Which is this tank?(Assume each tank has enough water to flow through its outlet for 15 minutes)DCannot be determined.A or BC
Solution 1
The problem can be solved by calculating the net amount of water each tank receives or loses after all taps have been used once.
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Tank A: It loses 25 litres/minute for 15 minutes through Tap 1 and gains 22 litres/minute for 15 minutes through Tap 4. So, the net amount of water it loses or gains is -2515 + 2215 = -45 litres.
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Tank B: It gains 25 litres/minute for 15 minutes through Tap 1 and loses 30 litres/minute for 15 minutes through Tap 2. So, the net amount of water it loses or gains is 2515 - 3015 = -75 litres.
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Tank C: It gains 30 litres/minute for 15 minutes through Tap 2 and loses 20 litres/minute for 15 minutes through Tap 3. So, the net amount of water it loses or gains is 3015 - 2015 = 150 litres.
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Tank D: It gains 20 litres/minute for 15 minutes through Tap 3 and loses 22 litres/minute for 15 minutes through Tap 4. So, the net amount of water it loses or gains is 2015 - 2215 = -30 litres.
From the above calculations, it can be seen that only Tank C gains water and all other tanks lose water. Therefore, Tank C is the one that gets fully filled.
Solution 2
The question seems to be incomplete. Could you please provide the full question?
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