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A chemical plant has four tanks (A, B, C, and D), each having capacity 1000 litres.The chemical is being pumped from one tank to another as follows:
From A to B @ 20 litres/minute
From C to A @ 75 litres/minute
From A to D @ 10 litres/minute
From C to D @ 50 litres/minute
From B to C @ 100 litres/minute
From D to B @ 110 litres/minute
The pumping process stops as soon as one of the taps get empty or one of them gets full. If all the tanks initially contain 500 litres of chemical, when will the pumping process stop (in minutes) after it starts?
  • a)
    11.11
  • b)
    20
  • c)
    10
  • d)
    16.66
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
A chemical plant has four tanks (A, B, C, and D), each having capacity...
The change in the amount of chemical in each tank after every minute is as follows:
A: - 20 - 10 + 75 = 45 
B : - 100 + 110 + 20 = 30
C: - 50 - 75 + 100 = - 25 
D :-110 + 10+ 50 = -50
Since the volume of each tank is 1000 litres and each initially has 500 litres, hence the amount to be filled or emptied is same for the tanks.
Since tank D loses the maximum amount of chemical per minute, it will be emptied first, and then the process will stop.
Let n minutes be the time taken by tank D to get empty
500 - 50n = 0
n = 10 minutes
Hence, option 3.
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Most Upvoted Answer
A chemical plant has four tanks (A, B, C, and D), each having capacity...
To solve this problem, we need to track the amount of chemical in each tank at every minute and determine when one of the tanks reaches its capacity or becomes empty. Let's break down the steps to find the stopping time of the pumping process:

Step 1: Initialize the tank capacities and chemical amounts
- Tank A, B, C, and D have a capacity of 1000 litres each.
- Initially, all tanks contain 500 litres of chemical.

Step 2: Track the pumping process
- Start the pumping process and track the chemical flow from one tank to another at each minute.
- The pumping process stops when one of the tanks reaches its capacity of 1000 litres or becomes empty.

Let's track the chemical flow from minute to minute:

Minute 1:
- A to B: 20 litres (A: 480, B: 520)
- C to A: 75 litres (A: 555, C: 425)
- A to D: 10 litres (A: 545, D: 455)
- C to D: 50 litres (C: 375, D: 505)
- B to C: 100 litres (B: 420, C: 475)
- D to B: 110 litres (B: 530, D: 395)

Minute 2:
- A to B: 20 litres (A: 525, B: 545)
- C to A: 75 litres (A: 600, C: 350)
- A to D: 10 litres (A: 590, D: 405)
- C to D: 50 litres (C: 300, D: 455)
- B to C: 100 litres (B: 445, C: 400)
- D to B: 110 litres (B: 555, D: 345)

By tracking the chemical flow for each minute, we can continue the process until we reach a point where one of the tanks reaches its capacity or becomes empty.

Minute 3:
- A to B: 20 litres (A: 570, B: 565)
- C to A: 75 litres (A: 645, C: 275)
- A to D: 10 litres (A: 635, D: 415)
- C to D: 50 litres (C: 225, D: 465)
- B to C: 100 litres (B: 465, C: 500)
- D to B: 110 litres (B: 575, D: 355)

Minute 4:
- A to B: 20 litres (A: 655, B: 585)
- C to A: 75 litres (A: 730, C: 200)
- A to D: 10 litres (A: 720, D: 425)
- C to D: 50 litres (C: 150, D: 475)
- B to C: 100 litres (B: 485, C: 600)
- D to B: 110 litres (B: 695, D: 365)

Minute 5:
- A to B: 20 litres (A: 745, B: 605)
- C to A: 75 litres (A: 820, C: 125)
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A chemical plant has four tanks (A, B, C, and D), each having capacity...
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A chemical plant has four tanks (A, B, C, and D), each having capacity 1000 litres.The chemical is being pumped from one tank to another as follows:From A to B @ 20 litres/minuteFrom C to A @ 75 litres/minuteFrom A to D @ 10 litres/minuteFrom C to D @ 50 litres/minuteFrom B to C @ 100 litres/minuteFrom D to B @ 110 litres/minuteThe pumping process stops as soon as one of the taps get empty or one of them gets full. If all the tanks initially contain 500 litres of chemical, when will the pumping process stop (in minutes) after it starts?a)11.11b)20c)10d)16.66Correct answer is option 'C'. Can you explain this answer?
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