a water tank has three inlets. inket 1 alond can fill in 30 min. inlet 2 can fill in 40 mins. 3 can fill in 60 mins. if theyre opened together, how lobg it will take to fill
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a water tank has three inlets. inket 1 alond can fill in 30 min. inlet 2 can fill in 40 mins. 3 can fill in 60 mins. if theyre opened together, how lobg it will take to fill
challenge to mods and stars
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Correct question :-
A water tank has three inlets. Inlet 1 alone can fill the tank in 30 minutes. Inlet 2 can fill the tank in 40 minutes. Inlet 3 can fill the tank in 60 minutes. If all three are opened together, how long it will take to fill the tank?
Solution:-
Inlet 1 fills the tank in 30 minutes. Thus in 1 minute it'll fill :- 1÷30
Inlet 2 fills the tank in 40 minutes. Thus in 1 minute it'll fill :- 1÷40
Inlet 1 fills the tank in 60 minutes. Thus in 1 minute it'll fill :- 1÷60
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If the three inlets are opened together then in 1 minute they'll fill :-
Since 9/120 of the tank can be filled in one minute, the whole tank will be filled in 120÷9 ( reciprocal the terms )
40/3 = 13 minutes and 20 seconds.
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Verified answer
Answer:
13.3 minutes
Step-by-step explanation:
A alone can fill the tank in 30 minutes.
A's 1 hour work = \frac{1}{30}301
B can fill it in 40 minutes
B's 1 hour work = \frac{1}{40}401
C can fill it in 60 minutes.
C's 1 hour work = \frac{1}{60}601
They work together in 1 hour = \frac{1}{30}+\frac{1}{40}+\frac{1}{60}301+401+601
= \frac{3}{40}403
If they work together it will take time to fill the tank= \frac{40}{3}=13.33340=13.33
Hence it will take 13.3 minutes to fill the tank if they work together