Math, asked by vasukumari7579, 1 year ago

Two pipes a and b can fill a tank in 36 minutes and 45 minutes respectively. another pipe c can empty the tank in 30 minutes. first a and b are opened. after 7 minutes, c is also opened. the tank is filled up in

Answers

Answered by mitse0102
4
Pipe A can fill empty tank in 30 min.
Pipe A can fill the tank = 100/36 = 2.77% per minute.
Pipe B can fill empty tank in 45 min.
Pipe B can fill the tank = 100/45 = 2.22% per min.
A and B can together fill the tank,
= (2.77 + 2.22)= 5% per minute.
So, A and B can fill the tank in 7 min.,
= 7*5 = 35% of the tank.
Rest tank to be filled = 100 - 35 = 65%.
C can empty the full tank in 30 min.
C can empty the tank = 100/30 = 3.33% per min.
C is doing negative work i.e. emptying the tank.
A, B and C can together fill the tank,
= 2.77% + 2.22% - 3.33% = 1.67% tank per minute.
So, A, B and C will take time to fill 65% empty tank,
= 65/1.67 = 39 min. (Approx.)
Source :- Google
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