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There are two pipes in a tank. Pipe A is for filling the tank and Pipe Bis for emptying the tank. If A can fill the tank in 10 hours and B can empty the tank in 15 hours then find how many hours will it take to completely fill a half empty tank?

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Important Questions on Time and Work

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How to prepare for Quantitative Aptitude for the CAT>Chapter 12 - Time and Work>Level of Difficulty>Q 48
There are three Taps A, B and C in a tank. They can fill the tank in 10 hrs, 20 hrs and 25 hrs respectively. At first, all of them are opened simultaneously. Then after 2 hours, tap C is closed and A and B are kept running. After the 4th hour, tap B is also closed. The remaining work is done by Tap A alone. Find the percentage of the work done by Tap A by itself. 
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How to prepare for Quantitative Aptitude for the CAT>Chapter 12 - Time and Work>Level of Difficulty>Q 49
Two taps are running continuously to fill a tank. The 1st tap could have filled it in 5 hours by itself and the second one by itself could have filled it in 20 hours. But the operator failed to realise that there was a leak in the tank from the beginning which caused a delay of one hour in the filling of the tank. Find the time in which the leak would empty a filled tank.
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How to prepare for Quantitative Aptitude for the CAT>Chapter 12 - Time and Work>Level of Difficulty>Q 56
5 women can paint a building in 30 working hours. After 16 hours of work, 2 women decided to leave. How many hours will it take for the work to be finished?
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How to prepare for Quantitative Aptitude for the CAT>Chapter 12 - Time and Work>Level of Difficulty>Q 2
According to a plan, a drilling team had to drill to a depth of 270 metres below the ground level. For the first three days, the team drilled as per the plan. However, subsequently finding that their resources were getting underutilised according to the plan, it started to drill 8 metres more than the plan every day. Therefore, a day before the planned date they had drilled to a depth of 280 metres. How many metres of drilling was the plan for each day?
 
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How to prepare for Quantitative Aptitude for the CAT>Chapter 12 - Time and Work>Level of Difficulty>Q 12

Two pipes can fill a cistern in 14and 16hours respectively. The pipes are opened simultaneously and it is found that due to leakage in the bottom of the cistern, it takes 32minutes extra for the cistern to be filled up. When the cistern is full, at what time will the leak empty it? 

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How to prepare for Quantitative Aptitude for the CAT>Chapter 12 - Time and Work>Level of Difficulty>Q 13

A tank holds 100gallons of water. Its inlet is 7 inches in diameter and fills the tank at 5 gallons/min. The outlet of the tank is twice the diameter of the inlet. How many minutes will it take to empty the tank if the inlet is shut off when the tank is full and the outlet is opened? (Hint: Rate of filling or emptying is directly proportional to the diameter) 

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How to prepare for Quantitative Aptitude for the CAT>Chapter 12 - Time and Work>Level of Difficulty>Q 14

A tank of capacity 25litres has an inlet and an outlet tap. If both are opened simultaneously, the tank is filled in 5minutes. But if the outlet flow rate is doubled and taps opened the tank never gets filled up. Which of the following can be outlet flow rate in litres/min? 

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How to prepare for Quantitative Aptitude for the CAT>Chapter 12 - Time and Work>Level of Difficulty>Q 24
Two women Renu and Ushi are working on an embroidery design. If Ushi worked alone, she would need eight hours more to complete the design than if they both worked together. Now if Renu worked alone, it would need 4.5 hours more to complete the design than they both working together. What time would it take Renu alone to complete the design?