Question:
A chemical plant has four tanks (A, B, C, D), each containing $1000$ litres. Chemical is pumped between tanks at the given rates:
A → B: 20 L/min,
C → A: 90 L/min,
A → D: 10 L/min,
C → D: 50 L/min,
B → C: 100 L/min,
D → B: 110 L/min.
Which tank empties first and how long does it take (minutes) after pumping starts?
A chemical plant has four tanks (A, B, C, D), each containing $1000$ litres. Chemical is pumped between tanks at the given rates:
A → B: 20 L/min,
C → A: 90 L/min,
A → D: 10 L/min,
C → D: 50 L/min,
B → C: 100 L/min,
D → B: 110 L/min.
Which tank empties first and how long does it take (minutes) after pumping starts?
A → B: 20 L/min,
C → A: 90 L/min,
A → D: 10 L/min,
C → D: 50 L/min,
B → C: 100 L/min,
D → B: 110 L/min.
Which tank empties first and how long does it take (minutes) after pumping starts?
Show Hint
For flow problems, compute net rate in/out for each container to determine which empties first.
Updated On: Jul 31, 2025
- A, 16.66
- C, 20
- D, 20
- D, 25
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Verified By Collegedunia
The Correct Option is C
Solution and Explanation
Net outflow rate:
A: out 20+10=30, in 90 → net +60 (fills)
B: out 100, in 20+110=130 → net +30 (fills)
C: out 90+50=140, in 100 → net -40 (empties)
D: out 110, in 10+50=60 → net -50 (empties faster)
Time for D: $1000/50=20$ minutes. \[ \boxed{\text{Tank D, 20 min}} \]
B: out 100, in 20+110=130 → net +30 (fills)
C: out 90+50=140, in 100 → net -40 (empties)
D: out 110, in 10+50=60 → net -50 (empties faster)
Time for D: $1000/50=20$ minutes. \[ \boxed{\text{Tank D, 20 min}} \]
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