Anybody brainilist?
An emptying tap which can completely empty a cylindrical tank in 27 hour is fitted at 5/9th height from bottom. A filling tap which can fill the tank in 18 hours is fitted at the top. If both the taps are opened together, in how many hours the tank will get filled?
1)32hrs 2)32.5hrs 3)36hrs 4)34hrs
Answers
in 34 Hrs tank will get filled
Step-by-step explanation:
emptying tap is fiited at (5/9)th height
Hence no emptying process will Start untill tank is 5/9 filled
filling tap which can fill the tank in 18 hours
(5/9)th tank will be filled in = (5/9) * 18 = 10 hrs
Tank remained to fill = 1 - 5/9 = 4/9
After 10 hrs both taps will be working
Filling tap can fill in 1 hr = 1/18
Emptying tap can empty in 1 hr = 1/27
Together in 1 hr = 1/18 - 1/27
= ( 3 - 2)/54
= 1/54
1/54 tank will be filled in 1 hr
Tank will be filled in 54 hrs
4/9 tank will be filled in = (4/9) * 54 = 24 Hrs
Total Time taken = 10 + 24 = 34 Hrs
in 34 Hrs tank will get filled
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