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Two pipes P and Q can fill a cistern in 10 hours and 20 hours respectively. If they are opened simultaneously. Sometimes later, tap Q was closed, then it takes total 8 hours to fill up the whole tank.
Quantity I: x = Pipe “Q” Efficiency. y = net efficiency
Quantity II: x = Pipe “P” Efficiency. y = net efficiency
  • a)
    Quantity I > Quantity II
  • b)
    Quantity I < Quantity II
  • c)
    Quantity I ≥ Quantity II
  • d)
    Quantity I ≤ Quantity II
  • e)
    Quantity I = Quantity II or relation cannot be established
Correct answer is option 'E'. Can you explain this answer?
Verified Answer
Two pipes P and Q can fill a cistern in 10 hours and 20 hours respecti...
Pipe P Efficiency = 100/10 = 10%
Pipe Q Efficiency = 100/20 = 5%
Net Efficiency = 15%
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Most Upvoted Answer
Two pipes P and Q can fill a cistern in 10 hours and 20 hours respecti...
Pipe P Efficiency = 100/10 = 10%
Pipe Q Efficiency = 100/20 = 5%
Net Efficiency = 15%
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Community Answer
Two pipes P and Q can fill a cistern in 10 hours and 20 hours respecti...
P's filling rate per hour
Quantity II: x = 2Q's filling rate per hour

To find the respective filling rates of pipes P and Q, we can take the reciprocal of their respective filling times:

P's filling rate per hour = 1/10
Q's filling rate per hour = 1/20

When pipes P and Q are opened simultaneously, their combined filling rate is:

Combined filling rate per hour = P's filling rate per hour + Q's filling rate per hour
= 1/10 + 1/20
= 3/20

So, Quantity I: x = Pipe P's filling rate per hour = 3/20

When tap Q was closed, only pipe P is filling the tank, and it takes a total of 8 hours. We can use this information to find the filling rate of pipe P:

Pipe P's filling rate per hour = 1/8

So, Quantity II: x = 1/8

To compare the two quantities, we need to find their decimal representations:

Quantity I: x = 3/20 ≈ 0.15
Quantity II: x = 1/8 = 0.125

Therefore, Quantity I is greater than Quantity II.
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Two pipes P and Q can fill a cistern in 10 hours and 20 hours respectively. If they are opened simultaneously. Sometimes later, tap Q was closed, then it takes total 8 hours to fill up the whole tank.Quantity I: x = Pipe “Q” Efficiency. y = net efficiencyQuantity II: x = Pipe “P” Efficiency. y = net efficiencya)Quantity I > Quantity IIb)Quantity I < Quantity IIc)Quantity I ≥ Quantity IId)Quantity I ≤ Quantity IIe)Quantity I = Quantity II or relation cannot be establishedCorrect answer is option 'E'. Can you explain this answer?
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