Pipe A can fill a tank in 20 minutes and pipe B in 30 minutes and pipe C can empty the same in 40 minutes. If all of them work together, find the time taken to fill the tank.  

A    17 1/7 minutes

B    20 minutes

C    8 minutes

D    3 minutes

Solution

Correct Answer: Option A

 

Pipe I 20 minutes She does 1/20 job in 1 min Pipe II 30 minutes  He does 1/30 of the job in 1 min Pipe III 40 minutes

It does 1/40 of the job in 1 min

Together they will do 1/20 + 1/30 - 1/40 Together they will do 7/120 of the job in 1 min So they will take 120/7 minutes=  17 1/7 minutes   

 

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