Latest self Aptitude Question SOLUTION: A tap can fill a tank in 16 min and another can empty it in 8 min. if the tank is already 1/2 full and both the taps are opend together, will the tank be filled or emplied? How wil

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(#M40029999) SELF question Keep an EYE

A tap can fill a tank in 16 min and another can empty it in 8 min. if the tank is already 1/2 full and both the taps are opend together, will the tank be filled or emplied? How will it take before the tank is either filled or empty completely?

SONU GUPTA (11 years ago)

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sahaj  (11 years ago)

suppose the tank can contain 100L.then initially, it has 50L as it is half full. now 100L filled in 16 mins =>in 1 min,100/16 L is filled. also, 100L can be emptied in 8mins => in 1 min, 100/8 L is emptied. so 1min after opening the both the taps, the tank will have 50+100/16 -100/8 = 700/16 L.
after 2 mins, the tank will have 700/16 + 100/16 - 100/8 = 600/16 L..
similarly, after 8mins, the tank will have 0L left i.e. emptied. so,tank will be emptied after 8mins.

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deep aman  (11 years ago)

1st tap can fill with a rate of 1/16 while
2nd tap empties it at a rate of 1/8,so it is clear that rate of emptying is more than filling,hence it will get emptied,
now to calculate time we have...net rate of emptying=(1/8-1/16)=1/16
to empty half tank with a rate of 1/16 we have...(1/2)/(1/16)=8minutes

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SAPTARSHI MONDAL  (11 years ago)

1/8 -1/16=1/16
16*1/2=8

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surya prakash pandey  (11 years ago)

@sahaj if ur concept is right then acc. to it....it takes only 4 min to get empty.
100/16=25/4 and 100/8=25/2
50+25/4-25/2=75/4(1st min)
75/4+25/4-25/2=50/4(2nd min)
50/4+25/4-25/2=25/4(3rd min)
25/4+25/4-25/2=0(4th min)

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sahaj  (11 years ago)

@surya prakash pandey. 50+25/4 -25/2= 175/2.
ur calculation is wrong.

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