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Pipe 1 and 2 can fill up the tank in 15 minutes and pipe 3 can drain the tank in 30 minutes.Quantity I: What is the time taken by pipe 1 alone to fill the tank if pipe 2 takes 100% more time than pipe 1?Quantity II: What is time taken to fill the tank when all 3 pipes are open?1. Quantity 1 > Quantity 22. Quantity 1 ≥ Quantity 23. Quantity 1 < Quantity 24. Quantity 1 ≤ Quantity 25. Quantity 1 = Quantity 2 |
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Answer» Correct Answer - Option 3 : Quantity 1 < Quantity 2 Given: Pipe 1 + Pipe 2 = 15 minutes Pipe 3 = 30 minutes Pipe 1 = 2 × pipe 2 Formula used: If t1 and t2 fill up the tank then time taken to fill the tank ⇒ (1/ t) = (1/ t1) + (1/ t2) Calculation: Quantity I: Let time taken by Pipe 1 = X ⇒ Time taken by Pipe 2 = 2X ⇒ (1/ 15) = (1/ X) + (1/ 2X) ⇒ (1/ 15) = (3/ 2X) ⇒ X = 22.5 minutes Quantity II: Total time taken = (1/ 15) – (1/ 30) ⇒ (1/ T) = (1/ 30) ⇒ T = 30 minutes ∴ Quantity I < Quantity II |
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