Tap P and R open to fill the tank at the same time tap Q and S open to empty the tank Under this con...........

Quantitative Aptitude ( CCS) Pipes&cistern

Directions (): Study the pie chart carefully and answer the following questions.

Tap P and R open to fill the tank at the same time tap Q and S open to empty the tank. Under this condition, how much time it take fill the tank till mid level?

2 hours 50 min

3 hours 15 min

4 hours 40 min

5 hours

4 hours 45 min

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Explanation:

Filling till mid-level i.e. fill half tank = 400/2 = 200 l

For the combine flow rate of P and R,

⇒ Amount of water fill by tap P in 60 min = 30% of 400 = 120 l

⇒ Amount of water fill by tap R in 60 min = 25% of 400 = 100 l

⇒ Flow rate of P = 120/60 = 2 l/m

⇒ Flow rate of R = 100/60 = 5/3 l/m

⇒ Combine flow rate = 2 + (5/3) = 11/3 l/m

For the flow rate of Q and S,

⇒ Amount of water empty by tap Q in 60 min = 25% of 400 = 100 l

⇒ Amount of water empty by tap S in 60 min = 20% of 400 = 80 l

⇒ flow rate of tap Q = 100/60 = 5/3 l/m

⇒ flow rate of tap S = 80/60 = 4/3 l/m

⇒ Combine flow rate = 5/3 + 4/3 = 9/3 = 3 l/m

⇒ Actual filling rate = 11/3 - 3 = (11 - 9)/3 = 2/3 l/m

∴ Time taken to fill 200 l = 200 × (3/2) = 300 min = 5 hour

By: Munesh Kumari

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Tap P and R open to fill the tank at the same time tap Q and S open to empty the tank Under this con...........

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Explanation:

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