Two pipes P and Q would fill a cistern in 24 hours and 34 hours respectively. if both pipes are opened together, find when the first pipe must be turned off so that the cistern may be just filled in 16 hours

Asked by Rp7350876 | 28th Mar, 2020, 06:20: PM

Expert Answer:

cistern space filled space by space straight P space in space 1 space hr equals 1 over 24
cistern space filled space by space straight Q space in space 1 space hr equals 1 over 34
together
1 over 24 plus 1 over 34
now space we space need space to space fill space cistern space in space 16 space hrs
let space together space they space are space open space for space for space straight x space hrs space and space straight Q space is space kept space open space for space 16 minus straight x space hrs space to space complete space the space work
open parentheses 1 over 24 plus 1 over 34 close parentheses cross times straight x plus 1 over 34 open parentheses 16 minus straight x close parentheses equals 1
straight x equals 12.71 space hrs
after space 12.71 space hrs space we space need space to space close space straight P

Answered by Arun | 30th Mar, 2020, 11:38: AM

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