Pipe & Cistern

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Q1. Three pipes A, B and C fill a tank in 6 hours. After working together for 2 hours, C is closed and A and B can fill remaining part in 7 hours. The number of hours taken by C alone to fill the tank is:

(a) 10 hours
(b) 12 hours
(c) 14 hours
(d) 16 hours

Q2. Pipe A and B can fill a cistern in 10 hours and 15 hours respectively. When a third pipe C which work as an outlet pipe is also open then the cistern can be filled in 18 hours. The outlet pipe can empty a full cistern in–

(a) 12 hours
(b) 8 hours
(c) 9 hours
(d) 14 hours

Q3. Tap A can fill a tank in 20 hours, tap B in 25 hours and tap C can empty a full tank in 30 hours. Starting with A, followed by B and C each tap opens alternatively for one hour period, all the tank gets filled up completely. In how many hour the tank will be filled by completely?
(a) 51(11/15) hours
(b) 52(2/3) hours
(c) 24(4/11) hours
(d) 51(15/11) hours

Q4. If one pipe A can fill a tank in 20 minutes then 5 pipes, each of 20% efficiency of A, can fill the tank in:

(a) 80 minutes

(b) 100 minutes

(c) 20 minutes

(d) 25 minutes

Q5. A, B and C three taps can fill a tank in 40 minutes, 60 minutes and 30 minutes respectively. A is opened first and at every 3rd minute B and C is opened. In how much time, tank can be filled.

(a) 18 minutes

(b) 32 minutes

(c) 26 minutes

(d) 24 minutes

Q6. There are two taps in a tank A and B, which can fill the tank in 12 hours and 10 hours respectively and a third tap C, can empty the full tank in 15 hours. If tap A is opened at 7:00 am, tap B is opened at 9:00 am and tap C is opened at 10:00 am. On which time the tank will be completely filled?

(a) 4:15 pm

(b) 2:20 pm

(c) 3:35 pm

(d) 1:00 pm

Q7. Two pipes can fill a cistern separately in 24 minutes and 40 minutes respectively. A waste pipe can drain off 30 litres per minute. If all three pipes are opened, the cistern fills in one hour. The capacity (in litres) of the cistern is–

(a) 800 L

(b) 400 L

(c) 600 L

(d) 500 L

Q8. There are three taps in a tank A, B and C. A and B together can fill a tank in 60 minutes, B and C together in 40 minutes and C and A together in 30 minutes. In how much time each tap (working alone) can fill the bank.

(a) 80 minutes, 240 minutes, 48 minutes

(b) 40 minutes, 120 minutes, 24 minutes

(c) 60 minutes, 250 minutes, 64 minutes

(d) 72 minutes, 60 minutes, 30 minutes

Q9. A pipe can fill a cistern in 9 hours. Due to a leak in its bottom, the cistern fills up in 10 hours. If the cistern is full, in how much time will it be emptied by the leak?

(a) 70 hours

(b) 80 hours

(c) 90 hours

(d) 100 hours

Q10. A water tank can be filled by a tap in 30 minutes and another tap can fill it in 60 minutes. If both the tap are kept open for 5 minutes and then the first tap is closed, how long will it take for the tank to be filled?

(a) 20 minutes

(b) 25 minutes

(c) 30 minutes

(d) 45 minutes

Solution  

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