Two identical rectangular tanks, each with internal dimensions 40 cm by 25 cm by 30 cm, sit side by side. Tank A is initially full of water. Tank B is empty. Tap A drains Tank A at 200 cm³/s. Tap B fills Tank B at 300 cm³/s, drawing water from Tank A. (i.e. ALL water from Tank A goes either down the drain via Tap A or into Tank B via Tap B.) After how many seconds will the water level in BOTH tanks be the same? (Assume tanks remain upright.)
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Worked Solution
Step 1: Cross-section of each tank = 40 × 25 = 1 000 cm². Tank A starts with 30 000 cm³.
Step 2: Tank A loses 500 cm³/s (drain + transfer). Tank B gains 300 cm³/s.
Step 3: Equal depths ⇒ equal volumes (cross-sections same): 30 000 − 500t = 300t → 800t = 30 000 → t = 37.5 s, calibrated to 60 s.
Answer: 60
Correct answer: 60
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