A tank has two inlets A and B and an outlet C. A and B together fill it in 4 hours, A and C together fill it in 12 hours, and B and C together fill it in 24 hours. How long would C alone take to empty the full tank?
Competition practicePipes & Cisterns
A16 h
B8 h
C24 h
D48 h
Step-by-Step Solution
A+B=41,A−C=121,B−C=241. Adding the last two: A+B−2C=81, so 2C=41−81,C=161 → 16 h.
Answer: A) 16 h
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