Pipe A and B requires 80 minutes to fill the tank, pipe A and C requires 48/7 minutes to fill up the whole tank. If drain pipe is Piperequires 20 minutes to drain the whole tank then how much more efficient is pipe C when compared to pipe A?
Answers
Given : Pipe A and B requires 80 minutes to fill the tank,
pipe A and C requires 48/7 minutes to fill up the whole tank.
drain pipe is Pipe B requires 20 minutes to drain the whole tank
To Find : how much more efficient is pipe C when compared to pipe A
Solution:
Pipe B requires 20 minutes to drain the whole tank
=> pipe B in 1 min = - 1/20
Pipe A and B requires 80 minutes to fill the tank
=> 1/A + 1/B = 1/80
=> 1/A - 1/20 = 1/80
=> 1/A = 1/80 + 1/20
=> 1/A = 1/16
=> A requires 16 mins
A and C requires 48/7 minutes to fill up the whole tank.
1/A + 1/C = 1/(48/7)
=> 1/16 + 1/C = 7/48
=> 1/C = 7/48 - 1/16
=> 1/C = 1/12
=> C = 12
C requires 12 mins
A' 1 min work = 1/16
C' 1 min work = 1/12
C' 1 Extra work in 1 min = 1/12 - 1/16 = 1/48
C more efficient = (1/48)/(1/16) * 100 = 33.33 %
33.33 % more efficient is pipe C when compared to pipe A
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