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P, Q and R are channels which discharge solutions A,B and C respectively in a tank. When the tank is empty and all the three channels are opened what is the proportion of the solution C in the tank after 3 minutes, if the channels P, Q and R can fill the tank from empty to full in 30 minutes and 20 minutes and 10 minutes respectively when they are opened one at a time.
A
6\/11
B
5\/11
C
5
D
6
Correct Answer:
6\/11
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
$$\frac{5}{{11}}$$
B
$$\frac{6}{{11}}$$
C
$$\frac{7}{{11}}$$
D
$$\frac{8}{{11}}$$
Three taps I, J and K can fill a tank in 20,30and 40 minutes respectively. All the taps are opened simultaneously and after 5 minutes tap A was closed and then after 6 minutes tab B was closed .At the moment a leak developed which can empty the full tank in 70 minutes. What is the total time taken for the completely full ?
A
24.315 minutes
B
26.166 minutes
C
22.154 minutes
D
24 minutes
Three pipes are opened for 8 minutes each one after the other. The first two pipes can fill a tank in 20 minutes and 40 minutes, respectively. If the third pipe can empty the tank in 120 minutes, find the amount of water filled in the tank after 24 minutes. The tank is 480 litres.
A
160 litres
B
188 litres
C
224 litres
D
256 litres
A pipe can empty a tank in 2 minutes. Another pipe can empty the tank in 12 minutes, and a third pipe can fill the tank in 22 minutes. What is the time required to empty the tank if all the pipes are opened simultaneously?
A
1.85 minutes
B
1.95 minutes
C
2.05 minutes
D
2.15 minutes
Two pipes A and B can fill a tank with water in 30 minutes and 45 minutes respectively. The third pipe C can empty the tank in 36 minutes. First A and B are opened. After 12 minutes C is opened. Total time ( in minutes ) in which the tank will be filled up is -
A
12 minutes
B
24 minutes
C
30 minutes
D
36 minutes
There are three pipes connected to a tank. The first two can fill the tank in 20 minutes and 30 minutes, respectively. The third pipe can empty the entire tank in 5 minutes. If all the pipes are opened simultaneously, what time will it take to empty the tank?
A
8.55 minutes
B
8.56 minutes
C
8.57 minutes
D
8.58 minutes
Out of three pipes the first two can fill an empty tank in 9 and 18 hours, respectively while the third can drain the filled tank in 15 hours. If all the three pipes are opened when the tank is empty, after how many hours will the tank be full?
A
11
B
12
C
10
D
13
A pipe, working at full speed, can fill an empty cistern in 1 hour. However, during the first hour it worked at one-twelfth of its capacity, during the second hour at one-ninth of its capacity, during the third hour at one-sixth of its usual capacity and during the fifth hour it was only one -third as efficient as it was supposed to be. A second pipe also displayed similar performance, but if it worked at full speed would have filled the empty cistern in 2 hours. Together with a drain pipe that drained water out of the tank at a constant rate, the empty cistern could be filled in 5 hours, all the three pipes working concurrently. How many hours will it take the drain pipe to empty the filled cistern if no other pipe was functioning during the time?
A
16
B
12
C
10
D
15
Two pipes X and Y can fill an empty tank in 16 hours and 20 hours respectively. Pipe Z alone can empty the completely filled tank in 25 hours. Firstly both pipes X and Y are opened and after 6 hours pipe Z is also opened. What will be the total time (in hours) taken to completely fill the tank?
A
80\/7
B
67\/7
C
28\/3
D
304\/29
Two pipes P and Q can fill an empty tank in 25 hours and 20 hours respectively. Pipe R alone can empty the completely filled tank in 50 hours. Firstly both the pipes P and Q are opened and after 8 hours pipe R is also opened. What will be the total time (in hours) taken to completely fill the tank?
A
12
B
10
C
14
D
13