Question

Water is flowing in a pipe with a circular cross section but with varying 
cross-section area ,and at all points the water completely fills the pipe.
At a second point in the pipe the water speed is 3.80m/s. What is the 
radius of the pipe at this point?

Answer 1

1. Pipes A and B can fill a tank in 5 and 6 hours respectively. Pipe C can empty it in 12 hours. If all the three pipes are opened together, then the tank will be filled in:A. 39173917 hoursB. 1131711317 hoursC. 28112811 hoursD. 412412 hours

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2. Two pipes A and B can fill a cistern in 37123712 minutes and 4545 minutes respectively. Both pipes are opened. The cistern will be filled in just half an hour, if pipe B is turned off afterA. 5 minB. 9 minC. 10 minD. 15 min

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3. A pump can fill a tank with water in 2 hours. Because of a leak, it took 223223 hours to fill the tank. The leak can drain all the water of the tank inA. 6 hoursB. 8 hoursC. 9 hoursD. 10 hours

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4. Three pipes A, B and C can fill a tank from empty to full in 30 minutes, 20 minutes, and 10 minutes respectively. When the tank is empty, all the three pipes are opened. A, B and C discharge chemical solutions P,Q and R respectively. What is the proportion of the solution R in the liquid in the tank after 3 minutes?A. 611611B. 511511C. 711711D. 811811

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5. A tank is filled by three pipes with uniform flow. The first two pipes operating simultaneously fill the tank in the same time during which the tank is filled by the third pipe alone. The second pipe fills the tank 5 hours faster than the first pipe and 4 hours slower than the third pipe. Time required by the first pipe to fill the tank isA. 30 hoursB. 15 hoursC. 10 hoursD. 6 hours

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6. Two pipes A and B together can fill a cistern in 4 hours. Had they been opened separately, then B would have taken 6 hours more than A to fill the cistern. How much time will be taken by A to fill the cistern separately?A. 6 hoursB. 2 hoursC. 4 hoursD. 3 hours

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7. 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?A. 9 minB. 8 minC. 6 minD. 4 min

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