Question
Two pipes P and Q can fill a tank in 48 minutes and 64
minutes respectively. If both the pipes are opened simultaneously, after how much time Q should be closed so that the tank is full in 36 minutes?Solution
Let Q be closed after x minutes. Then, Part filled by (P+Q) in x min. + part filled by P in (36 – x ) min. = 1 x(1/48 + 1/64) + (36 - x) x 1/48 = 1 ⟹(7x/192) + (36 - x)/48 = 1 ⟹ 7x + 4 (36 – x ) = 192 ∴ x = 16 ∴ Hence, Q must be closed after 16 minutes
More Pipes and cisterns Questions
- Simplify:
1280 ÷ 8 + 490 ÷ √49 + ? = 150 * 2
1780 – 60 ÷ 4 x 80 = ?
- Find the simplified value of the given expression.
72% of 486 – 64% of 261 = ?
5760 ÷ 45 × 15 = ?
What will come in the place of question mark (?) in the given expression?
40% of 150 - ?% of 75 = 15 × 1.6
81% of 2300 – 34% of 550 = ?
The value of 97 × 103 is _________.
9/5 × 18/25 ÷ 42/21 = ? - 82/75
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