A tank has 10 pipes; some are inlets and the rest outlets. Each inlet fills the tank in 12 hours and each outlet empties it in 36 hours. With all 10 open, the empty tank fills in 6 hours. How many outlets are there?
Competition practicePipes & Cisterns
A3
B6
C4
D5
Step-by-Step Solution
With n inlets: 12n−3610−n=61⇒3n−10+n=6⇒n=4. Outlets =10−4=6. (4 is the number of inlets.)
Answer: B) 6
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