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B
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Difficulty:
75%
(hard)
Question Stats:
58% (02:26) correct
42%
(03:06)
wrong
based on 289
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Pipe A can fill a Tank in 18 Hours, Pipe B can empty a Tank in 12 Hours, Pipe C can fill Tank in 6 Hours. The Tank is already filled up to 1/6 of its capacity. Now Pipe A is opened in the First Hour alone, Pipe B is opened in the Second Hour alone and Pipe C is opened in the Third Hour alone. This cycle is repeated until the Tank gets filled. Then in How many Hours does the rest of Tank gets filled?
A. 15 Hours
B. 18 Hours
C. 20 Hours
D. 24 Hours
E. None
A. 15 Hours
B. 18 Hours
C. 20 Hours
D. 24 Hours
E. None
26 Mar 2019, 07:25
Kudos
Bookmarks
let the total work be 36 units (a common multiple for 18,12 & 6)
so per 1 hour, A would pump in 2 units, B would pump out 3 units & C would pump in 6 units
so 1 cycle of 3 hours would add 5 units in.
As \(\frac{1}{6}\) is already filled, so 6 units are already there.
at zero time: 6 units
after 3 hour (1 cycle): 6 + (2-3+6) = 6 + 5(1) = 11 , ... and so on .....
to fill the 36 units:
36 = 6 + 5x , where x is the number of cycles
x = 6, which represent 3 hours each, so 18 hours
so B
so per 1 hour, A would pump in 2 units, B would pump out 3 units & C would pump in 6 units
so 1 cycle of 3 hours would add 5 units in.
As \(\frac{1}{6}\) is already filled, so 6 units are already there.
at zero time: 6 units
after 3 hour (1 cycle): 6 + (2-3+6) = 6 + 5(1) = 11 , ... and so on .....
to fill the 36 units:
36 = 6 + 5x , where x is the number of cycles
x = 6, which represent 3 hours each, so 18 hours
so B
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General Discussion
27 Mar 2019, 19:08
Kudos
Bookmarks
Wasif007
Pipe A can fill a Tank in 18 Hours, Pipe B can empty a Tank in 12 Hours, Pipe C can fill Tank in 6 Hours. The Tank is already filled up to 1/6 of its capacity. Now Pipe A is opened in the First Hour alone, Pipe B is opened in the Second Hour alone and Pipe C is opened in the Third Hour alone. This cycle is repeated until the Tank gets filled. Then in How many Hours does the rest of Tank gets filled?
A. 15 Hours
B. 18 Hours
C. 20 Hours
D. 24 Hours
E. None
A. 15 Hours
B. 18 Hours
C. 20 Hours
D. 24 Hours
E. None
We can see that for 3 consecutive hours, the tank is filled 1/18 - 1/12 + 1/6 = 2/36 - 3/36 + 6/36 = 5/36 of its capacity. Since 5/6 of the tank still needs to be filled and (5/6)/(5/36) = 6, we need 3 x 6 = 18 hours to fill the rest of the tank.
Answer: B
