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Taps P and Q can fill a tank in 6 hours and R can empty it in 4 hours. If all the taps are opened together. In how much time will the tank be empty? 
1. 8 hours
2. 11 hours
3. 10 hours
4. 12 hours

1 Answer

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Best answer
Correct Answer - Option 4 : 12 hours

Given:

P and Q can fill a tank = 6 hours

R can empty fill a tank = 4 hours

Formula Used:

Work done = Total work/Total work done in 1 hour 

Calculation:

Taps

Work can be  complete in days

          LCM of 6 and 4

Work done by tap in 1 hour

P + Q

6

               12

2

R

4

 

-3

Total work done in an hour

 

 

-1

Work done = Total work/Total work done 1 hour by all three

⇒ Work done by (P + Q + R) = 12/(-1) = 12 hours 

∴ Work done by P, Q and R in 12 hours.

The correct option is 4 i.e. 12 hours

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