8 taps can fill a tank in 20 minutes .How many minutes will 10 taps fill the tank
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Part of the tank that can be filled by the two filler taps = (
30
1
+
20
1
)=
60
2+3
=
60
5
=
12
1
∴ The two taps can fill the tank in 12 minutes.
⇒ half of the tank will be filled in 6 minutes.
⇒ The time taken by the remaining half of the tank to be filled when the outlet pipe is open =(24−6) min =18 min.
⇒ Part of that half of the tank that can be emptied in 1 hour =
6
1
−
18
1
=
9
1
∴ Time taken to empty half of the cistern =9 minutes
∴ Capacity of the tank =100×9×2=1800 liters.
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