One tap can fill a cistern in 2 hours; another tap can empty the cistern in 3 hours. How long will they take to fill the cistern if both the taps are opened?

6 hrs

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2 hrs

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3 hrs

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4 hrs

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8 hrs

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Solution

The correct option is A
6 hrs

$T i m e t a k e n t o f i l l t h e t a n k = 2 h o u r s . T i m e t a k e n t o e m p t y t h e t a n k = 3 h o u r s . T i m e t a k e n t o f i l l t h e c i s t e r n = \frac{2 \times 3}{3 - 2} = 6 h o u r s$

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Similar questions

Q. two taps can fill a cistern in 10 hours and 8 hours respectively. A third tap can empty it in 15 hours. How long will it take to fill the empty cistern, if all of them are opened together?

A cistern can be filled by one tap in $8$ hours, and by another in $4$ hours. How long will it take to fill the cistern if both taps are opened together?

Q. Tap

A

can fill a cistern in

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A tap can fill a cistern In 8 hours and another tap can empty the full cistern in 16 hours. If both the taps are open. the time taken to fill the cistern Is

(a) $5 \frac{1}{3}$ hours

(b) 10 hours

(d) 20 hours

Q. A cistern can be filled by a tap in

4

hours while it can be emptied by another tap in

9

hours. If both the taps are opened simultaneously then after how much time will the cistern get filled ?

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One tap can fill a cistern in 2 hours; another tap can empty the cistern in 3 hours. How long will they take to fill the cistern if both the taps are opened?

The correct option is A 6 hrs Time taken to fill the tank = 2 hours.Time taken to empty the tank = 3 hours.Time taken to fill the cistern = 2×33−2=6hours

The correct option is A
6 hrs

$T i m e t a k e n t o f i l l t h e t a n k = 2 h o u r s . T i m e t a k e n t o e m p t y t h e t a n k = 3 h o u r s . T i m e t a k e n t o f i l l t h e c i s t e r n = \frac{2 \times 3}{3 - 2} = 6 h o u r s$