three pipes a, b and c can fill a cistern in 6 hours. after working at it together for 2 hours, c is closed and a and b can fill the remaining part in 6 hours. the number of hours taken by c alone to fill the cistern is

get three pipes a, b and c can fill a cistern in 6 hours. after working at it together for 2 hours, c is closed and a and b can fill the remaining part in 6 hours. the number of hours taken by c alone to fill the cistern is from screen.

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

Click here👆to get an answer to your question ✍️ Three pipes A, B and C can fill a tank in 6 hours. After working at it together for 2 hours, C is closed and A and B can fill the remaining part in 7 hours. The number of hours taken by C alone to fill the tank is.

Question

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

A

10

B

12

C

14

D

16

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Updated on : 2022-09-05

Solution Verified by Toppr

Correct option is C)

Part time in 2 hours=

6 2 ​ = 3 1 ​ Remaining part=(1− 3 1 ​ )= 3 2 ​ .

∴(A+B)'s 7 hour's work=

3 2 ​

(A+B)'s 1 hour's work=

21 2 ​

∴ C's hour's work={(A+B+C)'s 1 hour's work}−{(A+B)'s 1 hour's work}

=( 6 1 ​ − 21 2 ​ )= 14 1 ​

∴ C alone can fill the tank in 14 hours.

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[Solved] Three pipes A, B and C can fill a tank in 6 hours. After wor

Part filled in 2 hours = 2/6 = 1/3 Remaining part = 1 - 1/3 = 2/3 A and B’s 7 hour work = 2/3 A and B’s 1 hour work = 2/21 C’s 1 hour work

Home Quantitative Aptitude Time and Work Pipe and Cistern

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

12 hrs 9 hrs 15 hrs 7 hrs 14 hrs

Answer (Detailed Solution Below)

Option 5 : 14 hrs

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Detailed Solution

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Part filled in 2 hours = 2/6 = 1/3

Remaining part = 1 - 1/3 = 2/3

A and B’s 7 hour work = 2/3

A and B’s 1 hour work = 2/21

C’s 1 hour work = (A + B + C) ’s 1 hr work - (A + B) ’s 1 hr work = 1/6 - 2/21 = 1/14

∴ C can fill the tank alone in 14 hours.

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More Pipe and Cistern Questions

Q1. Pipes P and Q can fill a storage tank in full with water in 10 and 6 minutes, respectively. Pipe R draws the water out from the storage tank at a rate of 34 litres per minute. P, Q and R operate at a constant rate.  If it takes one hour to completely empty a full storage tank with all the pipes operating simultaneously, what is the capacity of the storage tank (in litres)?Q2. Pipe P & Pipe Q can fill a tank in 5 hours and 15 hours respectively. R can empty the same tank in 7.5 hours. How much time will all the three take together to fill the same tank?Q3. Two pipes A and B can fill a tank in 12 and 24 minutes respectively. If both the pipes are used together, then how long will it take to fill the tank?Q4. A pipe can normally fill a tank alone in 40 days but takes 20 days more due to a leak in the bottom of the tank. In how many days can the leak alone empty half the tank ?Q5. Two pipes can fill a cistern separately in 20 minutes and 40 minutes respectively and a waste pipe can drain off 35 gallons per minute. If all three pipes are opened, the cistern gets filled in an hour. What is the capacity of the cistern?Q6. There are 3 taps A, B, and C in a tank. These can fill the tank in 10 hours, 20 hours and 25 hours, respectively. At first, all three taps are opened simultaneously. After 2 hours, tap C is closed and A and B keep running. After 4 hours from the beginning, tap B is also closed. The remaining tank is filled by tap A alone. Find the percentage of work done by tap A itself.Q7. Tap A can fill a cistern in 212 hours while tap B can empty it in 318 hours. In how many hours the cistern will be filled if both A and B are opened together?Q8. Tap A fills a tank in four hours, and Tap B empties the same tank in six hours. When both of the taps are opened together, the tank will be filled up withinQ9. Tap A can fill a cistern in 218 hours while tap B can empty it in 327 hours. In how many hours the cistern will be filled if both A and B are opened together?Q10. Tap A can empty a cistern in 266 hours while tap B can fill it in 399 hours. In how many hours the filled cistern will be emptied if both A and B are opened together?

More Time and Work Questions

Q1. A can do a piece of work in 22 days while B alone can complete the whole work in 26 days. They work together for 5 days then A left the work and remaining work can done by B alone. In how many days will finish the whole work?Q2. 5 men and 3 women together or 9 men can cultivate a land in 60 days. Then how many days 8 men and 9 women together cultivate the same land.Q3. P can do a job in 8 days, Q in 12 days and R in 16 days. How many days are required to finish the work by R, if he is assisted by P and Q on every second day?Q4. 2 men and 3 boys can do a work in 10 days while 3 men and 2 boys can do a work in 8 days. In how many days, can 2 men and 1 boy do the same work?Q5. A and B can finish a work in 30 days, B and C in 40 days while C and A in 60 days. How long will they take to finish it while working all together?

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