A cistern can be filled by a tap in 4 hours and Emptied by a Outlet pipe in 6 hours .How long will it take to Cistern if both the Tap and the pipe are Opened Together. __ Answer This Rollerqueen! About the author Autumn
Filled in 1 hour = 1/6 Empties in 1 hour = 1/8 Net filled in 1 hour = 1/6 – 1/8 = (8-6)/48 = 2/48 =1/24 So cistern will be filled in 24 hours Reply
Answer: Inlet Tap Can Fill a Cistern in :- 4 Hours Inlet Tap Can Fill a Cistern In 1 Hour :- 1/4 [tex]\\ [/tex] Outlet Tap Can Empty the Cistern In :- 6 Hours Outlet Tap Can Empty the Cistern in 1 Hour :- 1/6 [tex]\\ [/tex] Work Done By both the Pipes in 1 hour = [tex]\begin{gathered}:\implies\sf\dfrac{1}{4} – \dfrac{ 1 } { 6}\\ \\ \\ :\implies\sf\dfrac{ 3-2}{12}\\ \\ \\ :\implies\sf\dfrac{ 1} {12}\\ \\ \\ :\implies\sf{ 12 \: Hours}\end{gathered}[/tex] Therefore, When Both tap And pipe Are opened Together The Cistern Can be Filled in 12 hours! Reply
Filled in 1 hour = 1/6
Empties in 1 hour = 1/8
Net filled in 1 hour = 1/6 – 1/8
= (8-6)/48
= 2/48
=1/24
So cistern will be filled in 24 hours
Answer:
Inlet Tap Can Fill a Cistern in :- 4 Hours
Inlet Tap Can Fill a Cistern In 1 Hour :- 1/4
[tex]\\ [/tex]
Outlet Tap Can Empty the Cistern In :- 6 Hours
Outlet Tap Can Empty the Cistern in 1 Hour :- 1/6
[tex]\\ [/tex]
Work Done By both the Pipes in 1 hour =
[tex]\begin{gathered}:\implies\sf\dfrac{1}{4} – \dfrac{ 1 } { 6}\\ \\ \\ :\implies\sf\dfrac{ 3-2}{12}\\ \\ \\ :\implies\sf\dfrac{ 1} {12}\\ \\ \\ :\implies\sf{ 12 \: Hours}\end{gathered}[/tex]
Therefore, When Both tap And pipe Are opened Together The Cistern Can be Filled in 12 hours!