New All India SEBI Grade A Scholarship Test on June 11, 2023
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Question

Pipe A and Pipe B can fill a cistern together in 18 minutes. Pipe B is 50% more efficient than pipe A. Find the capacity of cistern, if it is given that pipe ‘A’ fills the cistern at speed of 6 litre/minute.

A 150 lit Correct Answer Incorrect Answer
B 225 lit Correct Answer Incorrect Answer
C 240 lit Correct Answer Incorrect Answer
D 180 lit Correct Answer Incorrect Answer
E 270 lit Correct Answer Incorrect Answer

Solution

Let Pipe A can fill the tank in x minutes. Pipe B can fill the tank in x × (100/150) = 2x/3 According to question, => 1/x + 3/2x = 1/18 ⇒ 5/2x = 1/18 ⇒ x = 45 Capacity of tank = 45 × 6 = 270 lit

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