2 taps A and B can fill a tank in 20 hrs and 30 hrs respectively.Both were opened together and just when the tank should have been full it was noticed that an emptying pipe was also open. The emptying pipe was then closed and it took 6 hrs more to fill the tank. In how much time emptying pipe empties the full tank. Answer with solution
2 taps A and B can fill a tank in 20 hrs and 30 hrs respectively.Both were opened together and just when the tank should have been full it was noticed that an emptying pipe was also open. The emptying pipe was then closed and it took 6 hrs more to fill the tank. In how much time emptying pipe empties the full tank. Answer with solution
20*30/(20+30)=12
Two pipes should have filled it in 12 hours.
but after 12 hours, it took 6 more hours ( half of the time in which the two pipes should have filled the tank)
=> the emptying pipe should have emptied half the tank in 12 hours.
=> the emptying tank will empty the full tank in 24 hours
let total capacity of tank be 60 units(lcm of 20,30) efficiency of A and B be 3unit/hr and 2unit/hr respectively normally,(without any emptying pipe)time taken by both of them together to fill the tank =60/2+3=12 hrs let emptying rate of 3rd tap be x unit/hr then ,work done by three pipes together in 12hrs = total capacity of tank - work done by A and B together for last 6hrs 12*(3+2-x)=60-6*(3+2) from here x=2.5 unit /hr then time taken by emptying pipe to empty the full tank=60/2.5=24hrs
20*30/(20+30)=12Two pipes should have filled it in 12 hours.but after 12 hours, it took 6 more hours ( half of the time in which the two pipes should have filled the tank)=> the emptying pipe should have emptied half the tank in 12 hours.=> the emptying tank will empty the full tank in 24 hours
the emptying pipe should have emptied half the tank in 12 hours.
2 taps A and B can fill a tank in 20 hrs and 30 hrs respectively.Both were opened together and just when the tank should have been full it was noticed that an emptying pipe was also open. The emptying pipe was then closed and it took 6 hrs more to fill the tank. In how much time emptying pipe empties the full tank. Answer with solution
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