Pipe A can fill a tank in 36 min and Pipe B can fill a tank in 45 min Both pipe opened together Pipe...........

Quantitative Aptitude (Phase-1) Pipes&cistern

Pipe A can fill a tank in 36 min and Pipe B can fill a tank in 45 min. Both pipe opened together. Pipe A is closed after x min. Total time taken to fill the tank is 30 min. Find the value of x.

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Nabard grade-A,Previous year Memory Based Paper 18 Sept,2021

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20 min

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Explanation:

Correct option:1

Solution:
Given: Tank filled by A = 36 min
Tank filled by B = 45 min
Total time taken to fill the tank = 30 min

Efficiency x Time taken = Total capacity of tank
LCM OF 36 and 45 = 180 unit = Total capacity of tank
Time taken by A to fill the tank = 180/36 = 5 unit
Time taken by B to fill the tank = 180/45 = 4 unit
Pipe A is closed after x times but Pipe B is opened for 30 mins
Tank filled by Pipe B = 30 x 4 = 120 Remaining units to be filled = 180 —120 = 60 units
Remaining 60 units was filled by pipe A
Time taken by Pipe A = 60/5= 12 min

Therefore the value of x is 12 min