Question No. 3 of 15 Morka
Pipe A and B can fill a tank in 15 and 18 minutes but pipe C can empty it in 6 minutes. Pipe A
and B are kept open for 5 minutes in the beginning and then pipe is also opened, In what
time is the cisterns emptied)
Answers
Given : Pipe A and B can fill a tank in 15 and 18 minutes
pipe C can empty it in 6 minutes
Pipe A and B are kept open for 5 minutes in the beginning
then pipe C is also opened
To Find : In what time is the cisterns emptied
Solution:
Pipe A and B can fill a tank in 15 and 18 minutes
=> Pipe A and B together can fill in 1 min = 1/15 + 1/18
= ( 6 + 5)/90
= 11/90
Filled in 5 Minutes = 5 * 11/90 = 55/90
Pipe C can empty it in 6 minutes
Pipe C can empty in 1 minute = 1/6
Pipe A , B & C together in 1 Min can empty = 1/6 - 11/90
= ( 15 - 11)/90
= 4/90
4/90 Emptied in 1 Min
55 90 emptied in = 55/4 min
= 13.75 Mins
= 13 mins 45 sec after Pipe C opened
Learn More:
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Two pipes a and b can fill a cistern in 12 min and 16 min ...
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Given,
Pipe A and B can fill a tank in 15 and 18 minutes
Pipe C can empty it in 6 minutes
Pipe A and B are kept open for 5 minutes in the beginning
Pipe C is also opened
To find, In what time is the cisterns emptied
Solution:
Pipe A and B can fill a tank in 15 and 18 minutes
=> Pipe A and B together can fill in 1 min = 1/15 + 1/18
= ( 6 + 5)/90
= 11/90
Filled in 5 Minutes = 5 * 11/90 = 55/90
Pipe C can empty it in 6 minutes
Pipe C can empty in 1 minute = 1/6
Pipe A , B & C together in 1 Min can empty = 1/6 - 11/90
= ( 15 - 11)/90
= 4/90
4/90 Emptied in 1 Min
55 90 emptied in = 55/4 min
= 13.75 Mins
= 13 mins 45 sec after Pipe C opened
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