A Cistern has an inlet pipe and outlet pipe. The inlet pipe fills the ...
Inlet pipe Efficiency = 100/(8/6) = 75%
Outlet pipe Efficiency = 100/(6) = 16.66%
A Cistern has an inlet pipe and outlet pipe. The inlet pipe fills the ...
Given information:
- Inlet pipe fills the cistern in 1 hour 20 minutes when the outlet pipe is plugged.
- Outlet pipe empties the tank in 6 hours when the inlet pipe is plugged.
Calculating Efficiency:
- Let the capacity of the cistern be C.
- Inlet pipe fills the cistern in 1.33 hours (1 hour 20 minutes) when the outlet pipe is plugged, so the inlet pipe's efficiency = C/1.33.
- Outlet pipe empties the cistern in 6 hours when the inlet pipe is plugged, so the outlet pipe's efficiency = C/6.
Comparing efficiencies:
- Inlet pipe efficiency = C/1.33
- Outlet pipe efficiency = C/6
Comparing Quantity I and Quantity II:
- Inlet pipe efficiency (X) > Outlet pipe efficiency (Y) as X = C/1.33 and Y = C/6.
- Therefore, Quantity I is greater than Quantity II i.e., X > Y.
Thus, option A) Quantity I > Quantity II is the correct answer.