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A water tank is fitted with 8 pipes, some of these 8 pipes fill the

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A water tank is fitted with 8 pipes, some of these 8 pipes fill the  [#permalink]

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New post 08 Aug 2019, 12:10
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Question Stats:

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A water tank is fitted with 8 pipes, some of these 8 pipes fill the tank and others empty the tank. Each of the pipes that fills the tank fills it in 8 hours, while each of the pipes that empties the tank empties it in 6 hours. If all the 8 pipes are kept open when the water tank is full, it takes 6 hours to drain the tank. How many of these 8 pipes fill the tank?

1. 2 pipes
2. 4 pipes
3. 5 pipes
4. 6 pipes
5. 8 pipes

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A water tank is fitted with 8 pipes, some of these 8 pipes fill the  [#permalink]

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New post 08 Aug 2019, 12:57
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Assume the capacity of tank= LCM(6,8)=24units
Inlet pipe can fill 24/8= 3 units every hour.
Outlet pipe can discharge 24/6= 4 units every hour.

Total number of inlet pipes=x
Total number of outlet pipes= 8-x

{(8-x)*4 - 3x}*6= 24
32-4x-3x= 4
x=4

Total number of inlet pipes=4


DisciplinedPrep wrote:
A water tank is fitted with 8 pipes, some of these 8 pipes fill the tank and others empty the tank. Each of the pipes that fills the tank fills it in 8 hours, while each of the pipes that empties the tank empties it in 6 hours. If all the 8 pipes are kept open when the water tank is full, it takes 6 hours to drain the tank. How many of these 8 pipes fill the tank?

1. 2 pipes
2. 4 pipes
3. 5 pipes
4. 6 pipes
5. 8 pipes
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A water tank is fitted with 8 pipes, some of these 8 pipes fill the   [#permalink] 08 Aug 2019, 12:57
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A water tank is fitted with 8 pipes, some of these 8 pipes fill the

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