Question

22. Two taps can fill a tank in 45 min
utes and 60 minutes. Another
tap can empty it in 30 minutes
If the tank is empty and all the 3
taps are kept open in how much
time the tank will be filled​

Answer 1

180 min will be required to fill the tank completely.

Step-by-step explanation:

Lets consider taps A and B fill the tank in 45 min and 60 min respectively.

$\text{So, the area filled by Tap A in one min} = \frac{1}{45}$

$\text{The area filled by tap B in one min} = \frac{1}{60}$

Tap C empty the tank in 30 min

$\text{The area emptied by Tap C in 1 min} = \frac{1}{30}$

Total area filled by the taps A,B and C in one min

     =    $[\frac{1}{45} + \frac{1}{60}] - (\frac{1}{30})$      

The LCM of 45,60 and 30 is 360  

$= \frac{(8+6-12)}{360}$

$= \frac{2}{360} = \frac{1}{180}$

Hence it will take 180 min to fill the tank completely.

To Learn More...

1. One tap can fill a tank in 60 minutes while the other can empty it in 50 minutes. If the tank is full and both the taps are opened, in what time will the tank be emptied?

brainly.in/question/3154668

2. Two taps A and B fill a tank separately in 24 minutes and 40 minutes respectively and a waste pipe C releases 30 litres of water per minute. If all the pipes are opened the tank is filled in an hour. Find the capacity of the tank.

brainly.in/question/7726359