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There are three taps fitted in a tank. A can fill up the tank in 60 min and B can fill the tank in 75 min, while C empties the tank in 100 min. If the three taps work together, in how much time the taps will be able to fill the tank?
1. 30 min
2. 25 min
3. 60 min
4. 50 min

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Correct Answer - Option 4 : 50 min

Given:

A can fill up the tank in 60 min 

B can fill the tank in 75 min

C empties the tank in 100 min

Concept used:

Work = time × efficiency

Calculation:

Work Time Efficiency
A 60 mins 300/60 = 5
B 75 mins 300/75 = 4
C 100 mins 300/100 = 3
work (LCM of time) 300 units  

 

Efficiency of C = -3 as it is emptying the pipe.

Total efficiency of A, B ,and C together = 5 + 4 - 3 = 6

Time to fill the tank = 300/6

⇒ 50 mins

∴ Time taken to fill the tank is 50 mins.

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