A pipe can fill up an empty tank in 15 minutes. Another pipe flows out 20 liter of water per minute. If the two pipes are opened together and the empty tank is filled in 135 minutes, how much water does the tank contain? (Pipe & Cistern)

Shohan

15 views

2025-01-04 04:42

1 Answers

Shohan

$L e t, t h e c a p a c i t y o f t h e \tan k b e x l i t e r s . B y 1 s t p i p e I n 15 m i n u t e s p i p e f i l l = x p a r t o f t h e \tan k ∴ I n 1 m i n u t e p i p e f i l l = \frac{x}{15} p a r t o f t h e \tan k$

$A c c o r d i n g t o q u e s t i o n, 135 (\frac{x}{15} - 20) = x = 135 (\frac{x - 300}{15}) = x = 9 (x - 300) = x = 9 x - 2700 = x = 8 x = 2700 ∴ x = \frac{2700}{8} = 337.5 l i t e r s ∴ T h e c a p a c i t y o f t h e \tan k i s 337.5 l i t e r s .$

15 views Answered 2024-12-14 13:31

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