Pipe P can fill a tank of capacity 60 litres in 20 minutes and another

1.	Pipe P can fill a tank of capacity 60 litres in 20 minutes and another pipe Q can fill the same tank in 30 minutes. If both of the pipes are opened on an alternate minute then in how many minutes the tank will get completely filled?1. 342. 243. 144. 305. None of these
Answer» Correct Answer - Option 2 : 24 Given: Time to fill the whole tank by pipe P alone = 20 minutes Time to fill the whole tank by pipe Q alone = 30 minutes Total capacity of the tank = 60 litres Concept used: In case of alternate hours, when adding two efficiencies, gives the work done for two hours. Calculation: Part of tank can be filled by the pipe P in 1 minute = 60/20 ⇒ 3 litres Part of tank filled by pipe Q in 1 minute = 60/30 units ⇒ 2 litres In 2 minutes, both of the pipes will fill = (3 + 2) litres ⇒ 5 litres Time taken to fill 60 litres = 2 × 12 ⇒ 24 minutes ∴ In 24 minutes tank will get completely filled.

Pipe P can fill a tank of capacity 60 litres in 20 minutes and another pipe Q can fill the same tank in 30 minutes. If both of the pipes are opened on an alternate minute then in how many minutes the tank will get completely filled?1. 342. 243. 144. 305. None of these

Answer» Correct Answer - Option 2 : 24

Given:

Time to fill the whole tank by pipe P alone = 20 minutes

Time to fill the whole tank by pipe Q alone = 30 minutes

Total capacity of the tank = 60 litres

Concept used:

In case of alternate hours, when adding two efficiencies, gives the work done for two hours.

Calculation:

Part of tank can be filled by the pipe P in 1 minute = 60/20

⇒ 3 litres

Part of tank filled by pipe Q in 1 minute = 60/30 units

⇒ 2 litres

In 2 minutes, both of the pipes will fill = (3 + 2) litres

⇒ 5 litres

Time taken to fill 60 litres = 2 × 12

⇒ 24 minutes

∴ In 24 minutes tank will get completely filled.

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