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

Quantitative Aptitude (CDS) Time and work

Two pipes A and B can fill a tank in 60 minutes and 75 minutes respectively. There is also an outlet C. If??, ?? and ?? are opened together, the tank is full

in 50 minutes. How much time will be taken by C to empty the full tank?

100 minutes

110 minutes

120 minutes

125 minutes

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Explanation:

Let pipes A, B, C fill a tank in x, y and z hrs respectively.
Then x = 60 min, y = 75 min, z = z min
Required time to fill the tank = 50 min.
But required time =xyz/yz+zx−xy
50 =(60×75×z)/(75z+60z−60×75)
675z – 4500 × 5 = 450 z
675z – 450z = 4500 × 5
Z =4500×5/225= 100