A tank can be filled by pipe A in 2 hours and pipe B in 6 hours. At 10...
Part of the tank filled in 1 hour by pipe A = 1/2
Part of the tank filled by both pipes in1 hour

So, Time taken to fill 2/3 part = 60 minutes
Time taken to fill 1/2 part

The tank will be filled at 11:45 A.M.
View all questions of this testA tank can be filled by pipe A in 2 hours and pipe B in 6 hours. At 10...
Calculating the Fill Rate of Pipe A and Pipe B
- Pipe A fills the tank in 2 hours, so its fill rate is 1/2 tank per hour.
- Pipe B fills the tank in 6 hours, so its fill rate is 1/6 tank per hour.
Determining the Combined Fill Rate
- When both pipes are open, their combined fill rate is 1/2 + 1/6 = 2/3 tank per hour.
Calculating the Time to Fill the Tank
- From 10 A.M. to 11 A.M., pipe A fills 1/2 tank.
- At 11 A.M., both pipes are open, and they can fill 2/3 tank per hour.
- Therefore, it will take 1/3 tank to fill the remaining portion of the tank.
- This will take 1/3 / (2/3) = 1/2 hour, which is 30 minutes.
Calculating the Final Time
- Adding 30 minutes to 11 A.M. gives us 11:30 A.M.
- Therefore, the tank will be filled at 11:30 A.M., which is option 'D'.