Two pipes A and B can fill a tank in 60 min and 75 min respectively There is also an outlet C If A B...........

Quantitative Aptitude (CDS) Time and work

Two pipes A and B can fill a tank in 60 min and 75 min, respectively. There is also an outlet C. If A, B and C are opened together the tank is full in 50 min. How much time will be taken by C to empty the full tank?

100 min

110 min

120 min

125 min

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Explanation:

Since, two pipes A and B fill a tank in 60 min and 75 min, respectively.
therefore Part of tank filled by pipe A in 1 min = 1/60
and part of tank filled by pipe B in 1 min = 1/75
Now, part of tank filled by A and B together in 1 min = 1/60+1/75=(5+4)/300=9/300=3/100
and part of tank emptied by C in 1 min = 1/C
So, net part of tank filled by pipes A,B and C together in 1 min= 3/100-1/C = 1/50
=> 1/C=3/100-1/50=3/100-2/100=1/100
=>1/C=1/100=> C=100
Hence, the time taken by pipe C to empty the tank is
100 min.