Two pipes X and Y can fill a cistern in 24 min. and 32 min. respectively. If both the pipes are opened together, then after how much time Y should be closed so that the tank is full in 18 minutes?
6 min
8 min
None of these
10 min
A
None of these
B
8 min
C
10 min
D
6 min
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Solution
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The correct option is B 8 min Let Y closed pipe after a min . Then part filled by (X+Y) in a min +Part filled by X in (18-x) So a(124+132)+(18−a)124=1 Multy by 96 Or 4a+3a+72-4a=96 Or 3x=24 Or x=8 min
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