Pipe A and B can fill a tank in 10 hours and 20 hours respectively, if

1.	Pipe A and B can fill a tank in 10 hours and 20 hours respectively, if an outlet pipe C is left open which can empty the tank in 40 hours then in how much time will the tank be filled if they are opened together?1. 10 hours2. 40/7 hours3. 8 hours4. 7 hours
Answer» Correct Answer - Option 3 : 8 hours Given: A can fill a tank in 10 hours B can fill a tank in 20 hours C can empty a tank in 40 hours Concept used: If a tap can fill or empty a tank in x hours then the tank filled or emptied by the tap in 1 hour = 1/x of the total tank. Calculation: A can fill a tank in 10 hours Tank filled by P in 1 hour = 1/10 B can fill a tank in 20 hours Tank filled by Q in 1 hour = 1/20 C can empty a tank in 40 hours Tank emptied by R in 1 hour = 1/40 Tank filled in 1 hour = 1/10 + 1/20 - 1/40 Tank filled in 1 hour = 5/40 Tank filled in 1 hour = 1/8 The tank will be filled in 1/(1/8) hours ∴ The tank will be filled in 8 hours

Pipe A and B can fill a tank in 10 hours and 20 hours respectively, if an outlet pipe C is left open which can empty the tank in 40 hours then in how much time will the tank be filled if they are opened together?1. 10 hours2. 40/7 hours3. 8 hours4. 7 hours

Answer» Correct Answer - Option 3 : 8 hours

Given:

A can fill a tank in 10 hours

B can fill a tank in 20 hours

C can empty a tank in 40 hours

Concept used:

If a tap can fill or empty a tank in x hours then the tank filled or emptied by the tap in 1 hour = 1/x of the total tank.

Calculation:

A can fill a tank in 10 hours

Tank filled by P in 1 hour = 1/10

B can fill a tank in 20 hours

Tank filled by Q in 1 hour = 1/20

C can empty a tank in 40 hours

Tank emptied by R in 1 hour = 1/40

Tank filled in 1 hour = 1/10 + 1/20 - 1/40

Tank filled in 1 hour = 5/40

Tank filled in 1 hour = 1/8

The tank will be filled in 1/(1/8) hours

∴ The tank will be filled in 8 hours

Discussion

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