A tank of Capacity 160 litres has one inlet A and one outlet B.Inlet A alone can fill the empty tank in 6 hours and outlet B alone can empty the full rank in 24 hrs .In how many hours will inlet A fill 16 litres water in the tank when ourlet B is also open
Answers
Given : A tank of Capacity 160 litres has one inlet A and one outlet B .
Inlet A alone can fill the empty tank in 6 hours
outlet B alone can empty the full tank in 24 hr
To Find : In how many hours will inlet A fill 16 litres water in the tank when outlet B is also open
Solution:
Inlet A alone can fill the empty tank in 6 hours
=> Inlet A alone can fill in 6hrs = 160 litres
=> Inlet A alone can fill in 1hrs = 160/6 litres
= 80/3 litres
outlet B alone can empty the full tank in 24 hr
=> Inlet B alone can empty tank in 24hrs = 160 litres
=> Inlet B alone can empty tank in 1hrs = 160/24 litres
= 20/3 litres
When inlet A & inlet B working together
Then filled in 1 hr = 80/3 - 20/3
= 60/3
= 20 litre
20 litre is filled in 1hr
=> 1 litre is filled in 1/20 hr
=> 16 litre is filled in 16/20 hr
4/5 hrs = 0.8 hrs or 48 minutes
l inlet A fill 16 litres water in the tank when outlet B is also open
in 4/5 hrs = 0.8 hrs or 48 minutes
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