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Pipe A alone can empty the tank in 12 hours while pipe B alone can fill the tank in 24 hours and pipe C alone can fill the tank in 16 hours. In what time tank gets filled if all three pipes are opened simultaneously?1. 24 hours2. 72 hours3. 16 hours4. 48 hours5. 50 hours |
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Answer» Correct Answer - Option 4 : 48 hours GIVEN : Pipe A alone can empty the tank in 12 hours Pipe B alone can fill the tank in 24 hours and pipe C alone can fill the tank in 16 hours CONCEPT : Pipe & Cistern (Negative work) CALCULATION : Pipe A's 1 hour's work = 1/12 Pipe B's 1 hour's work = 1/24 Pipe C's 1 hour's work = 1/16 Pipe (A + B + C)'s 1 hours work = 1/24 + 1/16 - 1/12 = 1/48 ∴ In 48 hours tank will be completely filled. |
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