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Pipe A basically used as inlet pipe and pipe B is used as outlet pipe. Pipes A and both B are opened simultaneously, all the time. When pipe A fills the tank and B empty the tank, it will take double the time than when both the pipe fill the tank. When pipe B is used for filling the tank, its efficiency remains constant. What is the ratio of efficiency of pipe A and pipe B respectively?

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Important Questions on Time and Work

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Quantum CAT Also Useful for XAT>Chapter 8 - SNAP>CMAT>Q 99

Two pipes A and B can fill a cistern in 15 hours and 10 hours respectively. A top C can empty the full cistern in 30 hours. All the three taps were open for 2 hours, when it was remembered that the emptying tap had been left open. It was then closed. How many hours/min more would it take for the cistern to be filled ?

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Quantum CAT Also Useful for XAT>Chapter 8 - SNAP>CMAT>Q 1
A, B and C three weavers have to supply an order of 100 shawls. A can weave a shawl in 2 hours, B in 3 hours and C in 4 hours respectively. It is known that even being a joint contract each one weaves his own shawl completely i.e., no other weaver help to the rest weavers. In how many hours they will complete the order irrespective of day or night?
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Quantum CAT Also Useful for XAT>Chapter 8 - SNAP>CMAT>Q 2
Arun and Satyam can complete a work individually in 12 working days and 15 working days respectively with their full efficiencies. Arun does work only on Monday, Wednesday and Friday while Satyam does the work on Tuesday, Thursday and Saturday. Sunday is always off. But Arun and Satyam both works with half of their efficiencies on Friday and Saturday respectively. If Arun started the work on Ist January which falls on Monday followed by Satyam on the next day and so on (i.e., they work collectively in alternate days), then on which day work will be completed?
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Quantum CAT Also Useful for XAT>Chapter 8 - SNAP>CMAT>Q 3
A can do a work in 20 days, while B can do the same work in 25 days. They started work jointly. Few days later C also joined them and thus all of them completed the whole work in 10 days. All of them were paid total of ₹700. What is the share of C?
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Quantum CAT Also Useful for XAT>Chapter 8 - SNAP>CMAT>Q 4
A and B can complete the work individually in 24 days and 30 days respectively, working 10 hours a day. Work is to be done in two shift. Morning shift lasts for 6 hours and evening shift lasts for 4 hours. On the first day A works in the morning shift while B works in the evening shift. Next day A works in the evening shift while B works in the morning shift and so on. It means they work alternatively with respect to their shifts. Thus they work on this pattern till the work is completed. On which day the work got completed?
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Quantum CAT Also Useful for XAT>Chapter 8 - SNAP>CMAT>Q 5
In the previous question what per cent of the time of the morning shift was utilised?
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Quantum CAT Also Useful for XAT>Chapter 8 - SNAP>CMAT>Q 6
Working together B and C take 50% more number of days than A, B and C together take and A and B working together, take 83 more number of days than A, B and C take together. If A, B and C all have worked together till the completion of the work and B has received ₹120 out of the total earning of ₹450, then in how many days did A, B and C together complete the whole work?
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Quantum CAT Also Useful for XAT>Chapter 8 - SNAP>CMAT>Q 7
At Technosys Pvt Ltd. there are some engineering students employed as trainee engineers, belong to two eminent institutions of India. One group belong to MIT and another to NIT. Each student of MIT works for 10 hours a day till 60 days and each student of NIT works for 8 hours till 80 days on the two same projects. The ratio of number of students of MIT and that of NIT is 4: 5 respectively. Students of which institution is slower in work and by how much?